\u0646\u0638\u0631\u0629 \u0623\u0648\u0644\u064a\u0629 \u0639\u0644\u0649 \u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0627\u0644\u0623\u0631\u0642\u0627\u0645 – ToposUranos.com<\/title> <\/head> <body> <\/p>\n<div style=\"background-color:#F3F3F3; padding:20px;\">\n<center><\/p>\n<h1>\u0646\u0638\u0631\u0629 \u0623\u0648\u0644\u064a\u0629 \u0639\u0644\u0649 \u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0627\u0644\u0623\u0631\u0642\u0627\u0645: \u0645\u0646 \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0625\u0644\u0649 \u0627\u0644\u0645\u0631\u0643\u0628\u0629<\/h1>\n<\/center><\/p>\n\u0645\u0644\u062e\u0635:<\/strong><\/br>\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062f\u0631\u0633 \u0633\u0646\u0633\u062a\u0643\u0634\u0641 \u0643\u064a\u0641 \u064a\u0645\u0643\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0643\u0623\u0633\u0627\u0633 \u0644\u0628\u0646\u0627\u0621 \u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0623\u0631\u0642\u0627\u0645 \u0623\u062e\u0631\u0649 \u0644\u062a\u062c\u0627\u0648\u0632 \u0628\u0639\u0636 \u0627\u0644\u0642\u064a\u0648\u062f \u0627\u0644\u062a\u0634\u063a\u064a\u0644\u064a\u0629. \u0633\u0646\u0628\u062f\u0623 \u0628\u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0627\u0644\u0635\u062d\u064a\u062d\u0629\u060c \u0627\u0644\u062a\u064a \u062a\u0633\u0645\u062d \u0644\u0646\u0627 \u0628\u0625\u062c\u0631\u0627\u0621 \u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u0637\u0631\u062d \u0628\u0634\u0643\u0644 \u0648\u0627\u0633\u0639. \u062b\u0645\u060c \u0633\u0646\u062a\u0642\u062f\u0645 \u0646\u062d\u0648 \u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0627\u0644\u0646\u0633\u0628\u064a\u0629\u060c \u0627\u0644\u062a\u064a \u062a\u0648\u0641\u0631 \u0644\u0646\u0627 \u0623\u062f\u0627\u0629 \u0627\u0644\u0642\u0633\u0645\u0629 \u0628\u0634\u0643\u0644 \u0643\u0627\u0645\u0644. \u0628\u0639\u062f \u0630\u0644\u0643\u060c \u0633\u0646\u062f\u062e\u0644 \u0641\u064a \u0639\u0627\u0644\u0645 \u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629 \u0644\u0644\u0639\u0645\u0644 \u0645\u0639 \u062c\u0630\u0648\u0631 n-\u0627\u0644\u0623\u0633\u064a\u0629\u060c \u0648\u0633\u0646\u0630\u0643\u0631 \u0643\u064a\u0641 \u064a\u062a\u0645 \u0625\u062f\u062e\u0627\u0644 \u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0627\u0644\u0645\u0631\u0643\u0628\u0629 \u0644\u0645\u0648\u0627\u062c\u0647\u0629 \u0633\u064a\u0646\u0627\u0631\u064a\u0648\u0647\u0627\u062a \u0645\u062d\u062f\u062f\u0629 \u0645\u0639 \u062c\u0630\u0648\u0631 n-\u0627\u0644\u0623\u0633\u064a\u0629. \u0645\u0646 \u062e\u0644\u0627\u0644 \u0647\u0630\u0647 \u0627\u0644\u062a\u0637\u0648\u0631\u0627\u062a\u060c \u0633\u064a\u062a\u0645 \u0641\u0647\u0645 \u0643\u064a\u0641 \u064a\u0638\u0647\u0631 \u0643\u0644 \u0645\u062c\u0645\u0648\u0639\u0629 \u0623\u0631\u0642\u0627\u0645 \u062c\u062f\u064a\u062f\u0629 \u0644\u062d\u0644 \u0627\u0644\u0645\u0634\u0643\u0644\u0627\u062a \u0627\u0644\u0645\u062a\u0623\u0635\u0644\u0629 \u0641\u064a \u0627\u0644\u0633\u0627\u0628\u0642\u0629.<\/em><\/p>\n\u0623\u0647\u062f\u0627\u0641 \u0627\u0644\u062a\u0639\u0644\u0645<\/u>:<\/strong> \u0639\u0646\u062f \u0627\u0646\u062a\u0647\u0627\u0621 \u0647\u0630\u0647 \u0627\u0644\u062f\u0631\u0633\u060c \u0633\u064a\u0643\u0648\u0646 \u0627\u0644\u0637\u0627\u0644\u0628 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649:<\/p>\n<ol>\n<li>\u062a\u062d\u062f\u064a\u062f<\/strong> \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0644\u0644\u0623\u0631\u0642\u0627\u0645 \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0648\u0627\u0644\u0635\u062d\u064a\u062d\u0629 \u0648\u0627\u0644\u0646\u0633\u0628\u064a\u0629.<\/li>\n<li>\u062a\u0641\u0633\u064a\u0631<\/strong> \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0648\u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u0631\u062b \u0623\u0648 \u062a\u062a\u063a\u064a\u0631 \u0639\u0646\u062f \u0627\u0644\u0627\u0646\u062a\u0642\u0627\u0644 \u0645\u0646 \u0645\u062c\u0645\u0648\u0639\u0629 \u0623\u0631\u0642\u0627\u0645 \u0625\u0644\u0649 \u0623\u062e\u0631\u0649.<\/li>\n<li>\u0645\u0642\u0627\u0631\u0646\u0629<\/strong> \u062e\u0635\u0627\u0626\u0635 \u0645\u062e\u062a\u0644\u0641 \u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0648\u0643\u064a\u0641\u064a\u0629 \u062a\u0641\u0627\u0639\u0644\u0647\u0627 \u0645\u0639 \u0628\u0639\u0636\u0647\u0627 \u0627\u0644\u0628\u0639\u0636.<\/li>\n<\/ol>\n\u0641\u0647\u0631\u0633 \u0627\u0644\u0645\u062d\u062a\u0648\u064a\u0627\u062a<\/u><\/strong> \n<a href=\"#1\">\u0645\u0642\u062f\u0645\u0629<\/a> \n<a href=\"#2\">\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629<\/a> \n<a href=\"#3\">\u0627\u0644\u0627\u0646\u062a\u0642\u0627\u0644 \u0645\u0646 \u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0625\u0644\u0649 \u0627\u0644\u0635\u062d\u064a\u062d\u0629<\/a> \n<a href=\"#4\">\u0627\u0644\u0642\u0641\u0632\u0629 \u0625\u0644\u0649 \u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0627\u0644\u0646\u0633\u0628\u064a\u0629<\/a> \n<a href=\"#5\">\u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629 \u0648\u063a\u064a\u0631 \u0627\u0644\u0646\u0633\u0628\u064a\u0629<\/a> \n<a href=\"#6\">\u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0627\u0644\u0645\u0631\u0643\u0628\u0629: \u0627\u0644\u0628\u0646\u062f \u0627\u0644\u062c\u0628\u0631\u064a \u0644\u0644\u0623\u0631\u0642\u0627\u0645 \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629<\/a>\n<\/p>\n<center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/PfK-pIlyCj4\" title=\"\u0645\u0634\u063a\u0644 \u0641\u064a\u062f\u064a\u0648 YouTube\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center>\n<\/div>\n<a name=\"1\"><\/a><\/p>\n<h2>\u0645\u0642\u062f\u0645\u0629<\/h2>\n<div class=\"content\">\n<a href=\"https:\/\/www.youtube.com\/watch?v=PfK-pIlyCj4&t=96s\" target=\"_blank\" rel=\"noopener\">\u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629\u060c \u0625\u0644\u0649 \u062c\u0627\u0646\u0628 \u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0623\u0631\u0642\u0627\u0645 \u0623\u062e\u0631\u0649 \u0633\u0646\u0633\u062a\u0643\u0634\u0641\u0647\u0627 \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062f\u0631\u0633\u060c<\/strong><\/span><\/a> \u064a\u062a\u0645 \u062a\u0642\u062f\u064a\u0645\u0647\u0627 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0648\u0633\u064a\u0639 \u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629. \u064a\u062d\u062f\u062b \u0623\u0646\u0647 \u0645\u0639 \u0623\u064a \u0631\u0642\u0645\u064a\u0646 \u0637\u0628\u064a\u0639\u064a\u064a\u0646\u060c \u0644\u064a\u0633 \u0645\u0646 \u0627\u0644\u0645\u0645\u0643\u0646 \u062f\u0627\u0626\u0645\u064b\u0627 \u0625\u062c\u0631\u0627\u0621 \u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u0637\u0631\u062d \u0623\u0648 \u0627\u0644\u0642\u0633\u0645\u0629\u060c \u0648\u0647\u0630\u0647 \u0627\u0644\u062a\u0648\u0633\u0639\u0627\u062a \u062a\u0647\u062f\u0641 \u0625\u0644\u0649 \u062d\u0644 \u0647\u0630\u0647 \u0627\u0644\u0645\u0634\u0643\u0644\u0629.<\/p>\n\u062e\u0644\u0627\u0644 \u0647\u0630\u0647 \u0627\u0644\u062f\u0631\u0633\u060c \u0633\u0646\u0631\u0627\u062c\u0639 <a href=\"https:\/\/toposuranos.com\/operaciones-con-numeros-naturales\/\" rel=\"noopener\" target=\"_blank\">\u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0648\u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0644\u0644\u0623\u0631\u0642\u0627\u0645 \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629\u060c<\/strong><\/a> \u0648\u0639\u0644\u0649 \u0647\u0630\u0627 \u0627\u0644\u0623\u0633\u0627\u0633\u060c \u0633\u0646\u062a\u0642\u062f\u0645 \u0646\u062d\u0648 \u0628\u0646\u0627\u0621 \u062c\u0645\u064a\u0639 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0627\u0644\u0623\u062e\u0631\u0649\u060c \u062d\u062a\u0649 \u0646\u0635\u0644 \u0625\u0644\u0649 \u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629 \u0648\u0645\u0627 \u0628\u0639\u062f\u0647\u0627.<\/p>\n<a name=\"2\"><\/a><\/p>\n<h2>\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629<\/h2>\n<a href=\"https:\/\/www.youtube.com\/watch?v=PfK-pIlyCj4&t=214s\" target=\"_blank\" rel=\"noopener\">\u0639\u0646\u062f \u0627\u0644\u062a\u0637\u0631\u0642 \u0625\u0644\u0649 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0628\u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629\u060c<\/span><\/strong><\/a> \u0646\u0634\u064a\u0631 \u0623\u0633\u0627\u0633\u0627\u064b \u0625\u0644\u0649 \u0627\u0644\u062c\u0645\u0639 \u0648\u0627\u0644\u0636\u0631\u0628\u060c \u0625\u0644\u0649 \u062c\u0627\u0646\u0628 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0627\u0644\u0645\u0642\u0627\u0628\u0644\u0629 \u0644\u0647\u0645\u0627. \u0641\u064a\u0645\u0627 \u064a\u0644\u064a \u062a\u0644\u062e\u064a\u0635 \u0644\u0647\u0630\u0647 \u0627\u0644\u062e\u0635\u0627\u0626\u0635:<\/p>\n\u0646\u0638\u0631\u0627\u064b \u0644\u0623\u0646 <bdi>a,b,c\\in\\mathbb{N},<\/span><\/bdi> \u064a\u062a\u062d\u0642\u0642 \u0645\u0627 \u064a\u0644\u064a:<\/p>\n<table>\n<tbody>\n<tr style=\"text-align: justify; color: #000000;\">\n<td>1.<\/td>\n<td><bdi>a + b = b + a<\/span><\/bdi><\/td>\n<\/tr>\n<tr style=\"text-align: left; color: #000000;\">\n<td>2.<\/td>\n<td><bdi>a \\pm (b \\pm c) = (a\\pm b)\\pm c <\/span><\/bdi> (\u0641\u064a \u062d\u0627\u0644\u0629 \u0627\u0644\u0637\u0631\u062d\u060c \u0635\u062d\u064a\u062d\u0629 \u062f\u0627\u0626\u0645\u064b\u0627 \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 \u0645\u0639\u0631\u0641\u0629 \u0628\u0634\u0643\u0644 \u0635\u062d\u064a\u062d)<\/td>\n<\/tr>\n<tr style=\"text-align: left; color: #000000;\">\n<td>3.<\/td>\n<td><bdi>a\\cdot b = b \\cdot a <\/span><\/bdi><\/td>\n<\/tr>\n<tr style=\"text-align: left; color: #000000;\">\n<td>4.<\/td>\n<td><bdi>a\\cdot(b\\cdot c)= (a\\cdot b)\\cdot c <\/span><\/bdi><\/td>\n<\/tr>\n<tr style=\"text-align: left; color: #000000;\">\n<td>5.<\/td>\n<td><bdi>a\\cdot b = a \\leftrightarrow b=1 <\/span><\/bdi><\/td>\n<\/tr>\n<tr style=\"text-align: left; color: #000000;\">\n<td>6.<\/td>\n<td><bdi>\\displaystyle \\frac{a}{b}\\in\\mathbb{N} \\leftrightarrow (\\exists k\\in\\mathbb{N})(a=b\\cdot k) <\/span><\/bdi><\/td>\n<\/tr>\n<tr style=\"text-align: left; color: #000000;\">\n<td>7.<\/td>\n<td><bdi>a\\cdot(b+c)=a\\cdot b + a \\cdot c <\/span><\/bdi><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<a name=\"3\"><\/a><\/p>\n<h2>\u0627\u0644\u0627\u0646\u062a\u0642\u0627\u0644 \u0645\u0646 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0625\u0644\u0649 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0635\u062d\u064a\u062d\u0629<\/h2>\n<a href=\"https:\/\/www.youtube.com\/watch?v=PfK-pIlyCj4&t=418s\" target=\"_blank\" rel=\"noopener\">\u0623\u0648\u0644 \u062c\u0627\u0646\u0628 \u064a\u062c\u0628 \u0645\u0644\u0627\u062d\u0638\u062a\u0647 \u0647\u0648 \u0623\u0646\u0647 \u0641\u064a \u062d\u0627\u0644\u0629 \u0627\u0644\u062c\u0645\u0639:<\/span><\/strong><\/a> <bdi>(\\forall a,b\\in\\mathbb{N})(a+b\\in\\mathbb{N})<\/span><\/bdi>\u060c \u0628\u064a\u0646\u0645\u0627 \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0644\u0637\u0631\u062d: <bdi>(\\forall a,b\\in\\mathbb{N})(a+b\\in\\mathbb{N} \\leftrightarrow a\\gt b)<\/span><\/bdi>. \u062a\u0638\u0647\u0631 \u0645\u0634\u0643\u0644\u0629 \u0639\u0646\u062f\u0645\u0627 \u0644\u0627 \u064a\u0643\u0648\u0646 \u0627\u0644\u0637\u0631\u062d \u0628\u064a\u0646 \u0631\u0642\u0645\u064a\u0646 \u0637\u0628\u064a\u0639\u064a\u064a\u0646 <bdi>a<\/span><\/bdi> \u0648 <bdi>b<\/span><\/bdi> \u0645\u0646\u0637\u0642\u064a\u0627\u064b \u0625\u0630\u0627 \u0643\u0627\u0646 <bdi>a\\leq b<\/span><\/bdi>\u061b \u0644\u062d\u0644 \u0647\u0630\u0647 \u0627\u0644\u0645\u0634\u0643\u0644\u0629\u060c \u064a\u062a\u0645 \u062a\u0648\u0633\u064a\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0625\u0644\u0649 \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0635\u062d\u064a\u062d\u0629\u060c \u062d\u064a\u062b \u064a\u0643\u062a\u0633\u0628 \u0627\u0644\u0637\u0631\u062d \u0645\u0646 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0642\u064a\u0645\u0629 \u0645\u062d\u062f\u062f\u0629 \u062c\u064a\u062f\u064b\u0627. \u0646\u0631\u0645\u0632 \u0644\u0647\u0630\u0647 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u062c\u062f\u064a\u062f\u0629 \u0645\u0646 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0635\u062d\u064a\u062d\u0629<\/strong> \u0628\u0627\u0644\u062d\u0631\u0641 <bdi>\\mathbb{Z}<\/span><\/bdi>\u060c \u0648\u062a\u062a\u0643\u0648\u0646 \u0645\u0646 \u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629\u060c \u0648\u0639\u0643\u0633\u0647\u0627 \u0627\u0644\u062c\u0645\u0639\u064a \u0648\u0627\u0644\u0635\u0641\u0631.<\/p>\n<bdi>\\mathbb{Z} = \\{\\cdots, -3,-2,-1,0,1,2,3,\\cdots \\}<\/span><\/bdi><\/p>\n\u062a\u0631\u062b \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0635\u062d\u064a\u062d\u0629 \u062c\u0645\u064a\u0639 \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0648\u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0644\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629\u060c \u0645\u0639 \u062a\u0648\u0633\u064a\u0639 \u0639\u0644\u0649 \u0627\u0644\u062e\u0627\u0635\u064a\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629\u060c \u0648\u064a\u062a\u0645 \u0625\u062f\u062e\u0627\u0644 \u0645\u0641\u0627\u0647\u064a\u0645 \u0627\u0644\u0639\u0643\u0633 \u0648\u0627\u0644\u0645\u062d\u0627\u064a\u062f \u0627\u0644\u062c\u0645\u0639\u064a.<\/p>\n<table>\n<tbody>\n<tr style=\"text-align: left; color: #000000;\">\n<td>2*.<\/td>\n<td><bdi>a \\pm (b \\pm c) = (a\\pm b) \\pm c <\/span><\/bdi><\/td>\n<\/tr>\n<tr style=\"text-align: left; color: #000000;\">\n<td>8.<\/td>\n<td><bdi>(\\forall a\\in\\mathbb{Z})(\\exists ! b\\in\\mathbb{Z})(a+b=0 \\leftrightarrow b=-a)<\/span><\/bdi><\/td>\n<\/tr>\n<tr style=\"text-align: left; color: #000000;\">\n<td>9.<\/td>\n<td><bdi>(\\forall a\\in\\mathbb{Z})(\\exists ! b\\in\\mathbb{Z})(a+b=a \\leftrightarrow b=0)<\/span><\/bdi><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\u0627\u0644\u0639\u0646\u0635\u0631 <bdi>b=-a<\/span><\/bdi> \u0647\u0648 \u0645\u0627 \u0646\u0633\u0645\u064a\u0647 \u0627\u0644\u0639\u0643\u0633 \u0627\u0644\u062c\u0645\u0639\u064a<\/strong> \u0644\u0640 <bdi>a<\/span><\/bdi>.<\/p>\n<a name=\"4\"><\/a><\/p>\n<h2>\u0627\u0644\u0627\u0646\u062a\u0642\u0627\u0644 \u0625\u0644\u0649 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0646\u0633\u0628\u064a\u0629<\/h2>\n<a href=\"https:\/\/www.youtube.com\/watch?v=PfK-pIlyCj4&t=755s\" target=\"_blank\" rel=\"noopener\">\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0631\u062d\u0644\u0629\u060c \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0648\u062d\u064a\u062f\u0629 \u0627\u0644\u062a\u064a \u0644\u0645 \u062a\u064f\u0639\u0631\u0641 \u0628\u0634\u0643\u0644 \u0635\u062d\u064a\u062d \u0647\u064a \u0627\u0644\u0642\u0633\u0645\u0629.<\/span><\/strong><\/a> \u0644\u062d\u0644 \u0647\u0630\u0627\u060c \u0633\u0646\u0642\u0648\u0645 \u0628\u062a\u0648\u0633\u064a\u0639 \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0635\u062d\u064a\u062d\u0629 \u0625\u0644\u0649 \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0646\u0633\u0628\u064a\u0629\u060c \u0648\u0627\u0644\u062a\u064a \u0633\u062a\u064f\u0639\u0631\u0641 \u0643\u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<bdi>\\mathbb{Q}=\\left\\{a= \\displaystyle\\frac{n}{m}\\;|\\;n,m\\in\\mathbb{Z}\\wedge m\\neq 0 \\right\\}<\/span><\/bdi><\/p>\n\u0645\u0646 \u062e\u0644\u0627\u0644 \u0647\u0630\u0627\u060c \u0646\u0643\u062a\u0633\u0628 \u062e\u0627\u0635\u064a\u0629 \u062c\u062f\u064a\u062f\u0629<\/p>\n<table>\n<tbody>\n<tr style=\"text-align: justify; color: #000000;\">\n<td>10.<\/td>\n<td><bdi>(\\forall a \\in \\mathbb{Q}\\setminus\\{0\\})(\\exists ! b \\in \\mathbb{Q})<\/span><\/bdi> <bdi>\\left[(a\\cdot b = 1) \\leftrightarrow \\left( b = \\displaystyle \\frac{1}{a} = a^{-1} \\right)\\right]<\/span><\/bdi><\/td>\n<\/tr>\n<tr style=\"text-align: justify; color: #000000;\">\n<td colspan=\"2\">\u0643\u0644 \u0639\u062f\u062f \u0646\u0633\u0628\u064a \u063a\u064a\u0631 \u0635\u0641\u0631\u064a \u0644\u0647 \u0645\u0639\u0643\u0648\u0633 \u0636\u0631\u0628\u064a. \u0627\u0644\u0645\u0639\u0643\u0648\u0633 \u0627\u0644\u0636\u0631\u0628\u064a \u0644\u0640 <bdi>a<\/span><\/bdi> \u0647\u0648 <bdi>a^{-1}<\/span><\/bdi><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\u0645\u0639 \u0647\u0630\u0647 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0648\u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0648\u0627\u0644\u062e\u0635\u0627\u0626\u0635\u060c \u062a\u064f\u0639\u0631\u0641 \u0639\u0645\u0644\u064a\u0627\u062a \u062c\u062f\u064a\u062f\u0629 \u0645\u0639 \u062e\u0635\u0627\u0626\u0635\u0647\u0627. \u0647\u0646\u0627 \u064a\u062a\u0645 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0642\u0648\u0629 n-\u0627\u0644\u0623\u0633\u064a\u0629 \u0644\u0639\u062f\u062f \u0646\u0633\u0628\u064a <bdi>q<\/span><\/bdi> \u0643\u0627\u0644\u062a\u0627\u0644\u064a<\/p>\n<bdi>q^n = \\underbrace{q\\cdot q \\cdot \\cdots \\cdot q}_{n\\;\u0645\u0631\u0627\u062a};<\/span><\/bdi> \u0645\u0639 <bdi>n\\in\\mathbb{N}<\/span><\/bdi><\/p>\n<bdi>q^{-n}= \\displaystyle \\frac{1}{q^n}<\/span><\/bdi><\/p>\n\u0646\u0644\u0627\u062d\u0638 \u0623\u0646\u0647\u060c \u0627\u0646\u0637\u0644\u0627\u0642\u0627\u064b \u0645\u0646 \u0647\u0630\u0627\u060c \u0648\u0637\u0627\u0644\u0645\u0627 \u0623\u0646 <bdi>q\\neq 0<\/span><\/bdi>\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u0642\u0648\u0644 \u0628\u0623\u0646<\/p>\n<bdi>q^0 = 1<\/span><\/bdi><\/p>\n\u0639\u0644\u0627\u0648\u0629 \u0639\u0644\u0649 \u0630\u0644\u0643\u060c \u0648\u0641\u064a \u0643\u0644 \u0645\u0631\u0629 \u062a\u0638\u0647\u0631 \u0641\u064a\u0647\u0627 \u0642\u0633\u0645\u0629 \u0639\u0644\u0649 \u0627\u0644\u0635\u0641\u0631\u060c \u0628\u0627\u0644\u0646\u0638\u0631 \u0625\u0644\u0649 \u0623\u064a \u0639\u062f\u062f\u064a\u0646 \u0646\u0633\u0628\u064a\u064a\u0646 <bdi>a,b<\/span><\/bdi>\u060c \u0648\u0639\u062f\u062f\u064a\u0646 \u0635\u062d\u064a\u062d\u064a\u0646 <bdi>n,m<\/span><\/bdi>\u060c \u0633\u062a\u064f\u0637\u0628\u0642 \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<table>\n<tbody>\n<tr style=\"text-align: justify; color: #000000;\">\n<td>11.<\/td>\n<td><bdi>a^n \\cdot a^m = a^{n+m} <\/span><\/bdi><\/td>\n<\/tr>\n<tr style=\"text-align: justify; color: #000000;\">\n<td>12.<\/td>\n<td><bdi>(a^n)^m = a^{n\\cdot m} <\/span><\/bdi><\/td>\n<\/tr>\n<tr style=\"text-align: justify; color: #000000;\">\n<td>13.<\/td>\n<td><bdi>(a\\cdot b)^n = a^{n} \\cdot a^{m} <\/span><\/bdi><\/td>\n<\/tr>\n<tr style=\"text-align: justify; color: #000000;\">\n<td>14.<\/td>\n<td><bdi>\\left(\\displaystyle \\frac{a}{a}\\right)^n = \\frac{a^n}{a^n} <\/span><\/bdi><\/td>\n<\/tr>\n<tr style=\"text-align: justify; color: #000000;\">\n<td>15.<\/td>\n<td><bdi>\\displaystyle \\frac{a^n}{a^m} = a^{n-m} = \\frac{1}{a^{m-n}} <\/span><\/bdi><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<a name=\"5\"><\/a><\/p>\n<h2>\u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629 \u0648\u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0644\u0627 \u0646\u0633\u0628\u064a\u0629<\/h2>\n<a href=\"https:\/\/www.youtube.com\/watch?v=PfK-pIlyCj4&t=1031s\" target=\"_blank\" rel=\"noopener\">\u062a\u0645\u0627\u0645\u064b\u0627 \u0643\u0645\u0627 \u0643\u0627\u0646 \u0627\u0644\u0623\u0645\u0631 \u0645\u0639 \u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0637\u0631\u062d (\u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0644\u0644\u062c\u0645\u0639) \u0648\u0627\u0644\u0642\u0633\u0645\u0629<\/span><\/strong><\/a> (\u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0644\u0644\u0636\u0631\u0628) \u062d\u064a\u062b \u0643\u0627\u0646 \u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u062a\u0648\u0633\u064a\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0625\u0644\u0649 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0635\u062d\u064a\u062d\u0629 \u0648\u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0639\u0644\u0649 \u0627\u0644\u062a\u0648\u0627\u0644\u064a \u0644\u062a\u0634\u0643\u064a\u0644 \u0639\u0645\u0644\u064a\u0627\u062a \u0645\u062d\u062f\u062f\u0629 \u0628\u0634\u0643\u0644 \u062c\u064a\u062f\u060c \u064a\u062d\u062f\u062b \u0627\u0644\u0623\u0645\u0631 \u0630\u0627\u062a\u0647 \u0645\u0639 \u0627\u0644\u0642\u0648\u0649. \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0644\u0644\u0642\u0648\u0629 n<\/span>-\u0627\u0633\u064a\u0629 \u0647\u064a \u0627\u0644\u062c\u0630\u0631 n<\/span>-\u0627\u0633\u064a.<\/p>\n<h3>\u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062c\u0630\u0631<\/h3>\n<a href=\"https:\/\/www.youtube.com\/watch?v=PfK-pIlyCj4&t=1071s\" target=\"_blank\" rel=\"noopener\">\u0644\u064a\u0643\u0646 n<\/span> \u0639\u062f\u062f\u064b\u0627 \u0635\u062d\u064a\u062d\u064b\u0627 \u0623\u0643\u0628\u0631 \u0645\u0646 1<\/span><\/strong><\/a> \u0648<bdi>p,q<\/span><\/bdi> \u0623\u0631\u0642\u0627\u0645\u064b\u0627 \u0646\u0633\u0628\u064a\u0629\u060c \u064a\u064f\u0639\u0631\u0641 \u0627\u0644\u062c\u0630\u0631 n<\/span>-\u0627\u0633\u064a \u0644\u0644\u0639\u062f\u062f q<\/span>\u060c \u0627\u0644\u0630\u064a \u0646\u0645\u062b\u0644\u0647 \u0648\u0641\u0642\u064b\u0627 \u0644\u0644\u0642\u0648\u0627\u0639\u062f \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<table>\n<tbody>\n<tr style=\"text-align: justify; color: #000000;\">\n<td>16.<\/td>\n<td><bdi>q=0 \\rightarrow \\sqrt[n]{q} = 0<\/span><\/bdi><\/td>\n<\/tr>\n<tr style=\"text-align: justify; color: #000000;\">\n<td>17.<\/td>\n<td><bdi>q \\gt 0 \\rightarrow \\left[ \\sqrt[n]{q} = p \\leftrightarrow p^n = q \\right]<\/span><\/bdi><\/td>\n<\/tr>\n<tr style=\"text-align: justify; color: #000000;\">\n<td>18.<\/td>\n<td><bdi> \\left[ q \\lt 0 \\wedge n \\text{\u0647\u0648 \u0641\u0631\u062f\u064a} \\right]\\rightarrow \\left[ \\sqrt[n]{q} = p \\leftrightarrow p^n = q \\right]<\/span><\/bdi><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\u0628\u0627\u062e\u062a\u0635\u0627\u0631\u060c \u0627\u0644\u062c\u0630\u0631 n<\/span> \u0627\u0644\u0623\u0633\u064a \u0644\u0640 q<\/span> \u0647\u0648 \u0631\u0642\u0645 p<\/span> \u0628\u062d\u064a\u062b\u060c \u0639\u0646\u062f \u0631\u0641\u0639\u0647 \u0625\u0644\u0649 \u0627\u0644\u0623\u0633 n<\/span>\u060c \u064a\u064f\u0639\u064a\u062f \u0627\u0644\u0639\u062f\u062f q<\/span> \u0645\u0631\u0629 \u0623\u062e\u0631\u0649. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0627\u062a\u060c \u0639\u0646\u062f\u0645\u0627 <bdi>n=2<\/span><\/bdi>\u060c \u0628\u062f\u0644\u0627\u064b \u0645\u0646 \u0643\u062a\u0627\u0628\u0629 <bdi>\\sqrt[2]{q}<\/span><\/bdi>\u060c \u0646\u0643\u062a\u0628 \u0628\u0628\u0633\u0627\u0637\u0629 <bdi>\\sqrt{q}<\/span><\/bdi> \u0644\u0644\u062a\u0628\u0633\u064a\u0637.<\/p>\n<h3>\u0638\u0647\u0648\u0631 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u063a\u064a\u0631 \u0627\u0644\u0646\u0633\u0628\u064a\u0629<\/h3>\n<a href=\"https:\/\/www.youtube.com\/watch?v=PfK-pIlyCj4&t=1216s\" target=\"_blank\" rel=\"noopener\">\u0648\u0635\u0644\u0646\u0627 \u0627\u0644\u0622\u0646 \u0625\u0644\u0649 \u0646\u0642\u0637\u0629 \u0646\u062a\u0633\u0627\u0621\u0644 \u0641\u064a\u0647\u0627<\/span><\/strong><\/a> \u0647\u0644 \u062a\u064f\u0639\u0631\u064e\u0641 \u0627\u0644\u062c\u0630\u0648\u0631 n<\/span> \u0627\u0644\u0623\u0633\u064a\u0629 \u0644\u062c\u0645\u064a\u0639 \u0639\u0646\u0627\u0635\u0631 \\mathbb{Q}<\/span> \u0628\u0634\u0643\u0644 \u0635\u062d\u064a\u062d\u061f \u0627\u0644\u062d\u0642\u064a\u0642\u0629 \u0647\u064a \u0623\u0646\u0647\u060c \u0639\u0644\u0649 \u0627\u0644\u0631\u063a\u0645 \u0645\u0646 \u0623\u0646\u0647\u0627 \u0644\u064a\u0633\u062a \u0648\u0627\u0636\u062d\u0629 \u0643\u0645\u0627 \u0647\u0648 \u0627\u0644\u062d\u0627\u0644 \u0645\u0639 \u0627\u0644\u0637\u0631\u062d \u0648\u0627\u0644\u0642\u0633\u0645\u0629\u060c \u0647\u0646\u0627\u0643 \u0623\u0639\u062f\u0627\u062f \u0646\u0633\u0628\u064a\u0629 \u0644\u0627 \u062a\u0645\u062a\u0644\u0643 \u062c\u0630\u0648\u0631\u064b\u0627 n<\/span> \u0627\u0644\u0623\u0633\u064a\u0629 \u0646\u0633\u0628\u064a\u0629. \u0644\u0631\u0624\u064a\u0629 \u0630\u0644\u0643\u060c \u064a\u0643\u0641\u064a \u0645\u0631\u0627\u062c\u0639\u0629 \u0627\u0644\u0645\u062b\u0627\u0644 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<bdi>\\sqrt{2}<\/span><\/bdi> \u0644\u064a\u0633 \u0639\u062f\u062f\u064b\u0627 \u0646\u0633\u0628\u064a\u064b\u0627.<\/strong><\/em><\/p>\n\u0627\u0644\u0628\u0631\u0647\u0627\u0646<\/strong><\/p>\n\u0633\u0646\u062b\u0628\u062a \u0630\u0644\u0643 \u0628\u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644 \u0627\u0644\u062e\u0644\u0641\u064a.<\/p>\n\u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646 <bdi>\\sqrt{2}<\/span><\/bdi> \u0639\u062f\u062f \u0646\u0633\u0628\u064a\u060c \u0623\u064a \u0623\u0646\u0647 \u064a\u0648\u062c\u062f <bdi>p,q\\in\\mathbb{Z}<\/span><\/bdi>\u060c \u0628\u0634\u0631\u0637 <bdi>q\\neq 0<\/span><\/bdi>\u060c \u0628\u062d\u064a\u062b \u0623\u0646 <bdi>\\sqrt{2}=p\/q<\/span><\/bdi>\u060c \u0648\u0642\u062f \u062a\u0645 \u062a\u0628\u0633\u064a\u0637\u0647\u0627 \u0644\u0623\u0628\u0633\u0637 \u0635\u0648\u0631\u0629. \u0625\u0630\u0627 \u0641\u0639\u0644\u0646\u0627 \u0630\u0644\u0643\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u0642\u0648\u0644 \u0623\u0646<\/p>\n<bdi>2 = \\left(\\sqrt{2} \\right)^2 =\\displaystyle \\frac{p^2}{q^2} = <\/span><\/bdi> <bdi>\\left(\\displaystyle \\frac{p}{q}\\right)^2<\/span><\/bdi> \n<\/span><\/p>\n\u0644\u0643\u0646 \u0647\u0630\u0627 \u064a\u062a\u0639\u0627\u0631\u0636 \u0645\u0639 \u062d\u0642\u064a\u0642\u0629 \u0623\u0646 <bdi>p\/q<\/span><\/bdi> \u0643\u064f\u062a\u0628 \u0628\u0623\u0628\u0633\u0637 \u0634\u0643\u0644 (\u0627\u0644\u0622\u0646 \u064a\u0628\u062f\u0648 \u0623\u0646\u0647 \u064a\u0645\u0643\u0646 \u062a\u0628\u0633\u064a\u0637 <bdi>(p\/q)^2<\/span><\/bdi> \u0648\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0647\u064a 2). \u0648\u0628\u0645\u0627 \u0623\u0646 \u0627\u0641\u062a\u0631\u0627\u0636 \u0623\u0646 <bdi>\\sqrt{2}<\/span><\/bdi> \u0639\u062f\u062f \u0646\u0633\u0628\u064a \u064a\u0624\u062f\u064a \u0625\u0644\u0649 \u062a\u0646\u0627\u0642\u0636\u060c \u0641\u0625\u0646\u0647 \u0644\u0627 \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0639\u062f\u062f\u064b\u0627 \u0646\u0633\u0628\u064a\u064b\u0627\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0646\u0642\u0648\u0644 \u0625\u0646\u0647 \u0639\u062f\u062f \u063a\u064a\u0631 \u0646\u0633\u0628\u064a.<\/p>\n<h3>\u0627\u0644\u062a\u0648\u0633\u0639 \u0625\u0644\u0649 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629<\/h3>\n<a href=\"https:\/\/www.youtube.com\/watch?v=PfK-pIlyCj4&t=1514s\" target=\"_blank\" rel=\"noopener\">\u0647\u0630\u0647 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u062a\u0638\u0647\u0631 \u0627\u0644\u062d\u0642\u064a\u0642\u0629 \u0623\u0646\u0647\u060c<\/span> <\/strong><\/a>\u0644\u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062c\u0630\u0631 n<\/span> \u0627\u0644\u0623\u0633\u064a \u0628\u0634\u0643\u0644 \u0635\u062d\u064a\u062d\u060c \u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u062a\u0648\u0633\u064a\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0625\u0644\u0649 \u0645\u062c\u0645\u0648\u0639\u0629 \u062c\u062f\u064a\u062f\u0629\u060c \u0648\u0647\u064a \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629\u060c \u0627\u0644\u062a\u064a \u0646\u0631\u0645\u0632 \u0644\u0647\u0627 \u0628\u0640 \\mathbb{R}<\/span> \u0648\u0627\u0644\u062a\u064a \u062a\u062d\u062a\u0648\u064a \u0643\u0644\u0627\u064b \u0645\u0646 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0648\u063a\u064a\u0631 \u0627\u0644\u0646\u0633\u0628\u064a\u0629<\/p>\n<bdi>\\mathbb{R}= \\mathbb{Q}\\cup \\mathbb{Q}^*<\/span><\/bdi><\/p>\n<a name=\"6\"><\/a><\/p>\n<h2>\u0627\u0644\u0645\u0639\u0642\u062f\u0627\u062a: \u0627\u0644\u0628\u0646\u062f \u0627\u0644\u062c\u0628\u0631\u064a \u0644\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629<\/h2>\n<a href=\"https:\/\/www.youtube.com\/watch?v=PfK-pIlyCj4&t=1532s\" target=\"_blank\" rel=\"noopener\">\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0637\u0629 \u064a\u062c\u0628 \u0623\u0646 \u0646\u0644\u0627\u062d\u0638 \u0634\u064a\u0626\u064a\u0646:<\/span><\/strong><\/a> (1) \u0639\u0646\u062f\u0645\u0627 \u064a\u0643\u0648\u0646 n<\/span> \u0632\u0648\u062c\u064a\u0627\u064b\u060c \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u0646-\u064a \u064a\u0643\u0648\u0646 \u0645\u062a\u0639\u062f\u062f \u0627\u0644\u0642\u064a\u0645\u060c \u0648 (2) \u0625\u0630\u0627 \u062d\u0627\u0648\u0644\u0646\u0627 \u0623\u064a\u0636\u064b\u0627 \u062d\u0633\u0627\u0628 <\/bdi>\\sqrt[n]{q}<\/span><bdi> \u062d\u064a\u062b <bdi>q\\lt 0,<\/span><\/bdi> \u0633\u0646\u0631\u0649 \u0623\u0646 \u0647\u0630\u0627 \u0627\u0644\u0639\u062f\u062f \u0644\u0627 \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0639\u062f\u062f\u064b\u0627 \u062d\u0642\u064a\u0642\u064a\u064b\u0627.<\/p>\n\u064a\u0645\u0643\u0646 \u062d\u0644 \u0627\u0644\u0623\u0648\u0644 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u0631\u0626\u064a\u0633\u064a<\/strong> \u0628\u062a\u0637\u0628\u064a\u0642 \u062a\u063a\u064a\u064a\u0631 \u0637\u0641\u064a\u0641 \u0639\u0644\u0649 \u0627\u0644\u0646\u0642\u0637\u0629 (17) \u0627\u0644\u062a\u064a \u062a\u062a\u062d\u062f\u062b \u0639\u0646 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062c\u0630\u0631\u060c \u0644\u062a\u0635\u0628\u062d \u0639\u0644\u0649 \u0627\u0644\u0646\u062d\u0648 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<table>\n<tbody>\n<tr style=\"text-align: justify; color: #000000;\">\n<td>17*.<\/td>\n<td> <bdi>q\\gt 0 \\rightarrow \\left[ 0\\lt p=\\sqrt[n]{q} \\leftrightarrow p^n=q \\right]<\/span><\/bdi> <\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\u064a\u0645\u0643\u0646 \u062a\u062d\u0642\u064a\u0642 \u0627\u0644\u062b\u0627\u0646\u064a \u0639\u0646 \u0637\u0631\u064a\u0642 \u062a\u0648\u0633\u064a\u0639 \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629 \u0625\u0644\u0649 \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0645\u0639\u0642\u062f\u0629 \\mathbb{C},<\/span> \u0648\u0644\u0643\u0646 \u0633\u064a\u062a\u0645 \u0628\u0646\u0627\u0621 \u0647\u0630\u0627 \u0641\u064a \u0648\u0642\u062a \u0644\u0627\u062d\u0642.<\/p>\n","protected":false},"excerpt":{"rendered":"\u0646\u0638\u0631\u0629 \u0623\u0648\u0644\u064a\u0629 \u0639\u0644\u0649 \u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0627\u0644\u0623\u0631\u0642\u0627\u0645 – ToposUranos.com \u0646\u0638\u0631\u0629 \u0623\u0648\u0644\u064a\u0629 \u0639\u0644\u0649 \u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0627\u0644\u0623\u0631\u0642\u0627\u0645: \u0645\u0646 \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0625\u0644\u0649 \u0627\u0644\u0645\u0631\u0643\u0628\u0629 \u0645\u0644\u062e\u0635:\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062f\u0631\u0633 \u0633\u0646\u0633\u062a\u0643\u0634\u0641 \u0643\u064a\u0641 \u064a\u0645\u0643\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0643\u0623\u0633\u0627\u0633 \u0644\u0628\u0646\u0627\u0621 \u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0623\u0631\u0642\u0627\u0645 \u0623\u062e\u0631\u0649 \u0644\u062a\u062c\u0627\u0648\u0632 \u0628\u0639\u0636 \u0627\u0644\u0642\u064a\u0648\u062f \u0627\u0644\u062a\u0634\u063a\u064a\u0644\u064a\u0629. \u0633\u0646\u0628\u062f\u0623 \u0628\u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0627\u0644\u0635\u062d\u064a\u062d\u0629\u060c \u0627\u0644\u062a\u064a \u062a\u0633\u0645\u062d \u0644\u0646\u0627 \u0628\u0625\u062c\u0631\u0627\u0621 \u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u0637\u0631\u062d \u0628\u0634\u0643\u0644 \u0648\u0627\u0633\u0639. \u062b\u0645\u060c \u0633\u0646\u062a\u0642\u062f\u0645 \u0646\u062d\u0648 \u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0627\u0644\u0646\u0633\u0628\u064a\u0629\u060c \u0627\u0644\u062a\u064a \u062a\u0648\u0641\u0631 \u0644\u0646\u0627 \u0623\u062f\u0627\u0629 \u0627\u0644\u0642\u0633\u0645\u0629 […]<\/p>\n","protected":false},"author":1,"featured_media":25036,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":24,"footnotes":""},"categories":[1037,581,565],"tags":[],"class_list":["post-24935","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-1037","category-581","category-565"],"yoast_head":"\n<title>\u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0627\u0644\u0631\u0642\u0645\u064a\u0629: \u0645\u0646 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0625\u0644\u0649 \u0627\u0644\u0645\u0639\u0642\u062f\u0629 - toposuranos.com\/material<\/title>\n<meta name=\"description\" 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