{"id":3438,"date":"2024-12-04T20:29:08","date_gmt":"2024-12-04T17:29:08","guid":{"rendered":"https:\/\/currconv.ru\/blog\/14248-2\/"},"modified":"2024-12-04T20:29:08","modified_gmt":"2024-12-04T17:29:08","slug":"14248","status":"publish","type":"post","link":"https:\/\/currconv.ru\/blog\/14248\/","title":{"rendered":"\u041f\u0440\u0438\u043c\u0435\u0440 \u211648 \u0438\u0437 \u0437\u0430\u0434\u0430\u043d\u0438\u044f 8"},"content":{"rendered":"<div class=\"fpm_start\"><\/div>\n<p>\u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{\\sqrt{4a^{9}} \\cdot \\sqrt{9b^4}}{\\sqrt{a^7 b^6}}<\/span> \u043f\u0440\u0438 <span class=\"katex-eq\" data-katex-display=\"false\">a=2<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">b=10<\/span>.<\/p>\n<p><span id=\"more-14248\"><\/span><\/p>\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n<h2 class=\"wp-block-heading has-text-align-center\" id=\"block-8a83fca7-55de-40fe-b45a-a479859ac319\"><strong>\u0420\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/h2>\n<p>\u0412\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u0441\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c\u0438 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430\u043c\u0438 \u0441\u0442\u0435\u043f\u0435\u043d\u0435\u0439 <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle a^m \\div a^n=a^{m-n}<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\sqrt[n]{x^m}=n^{\\frac{n}{m}}.<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\sqrt{\\frac{4a^{9} \\cdot 9b^4}{a^7 b^6}}=\\frac{\\sqrt{4} \\cdot \\sqrt{a^8 \\cdot a} \\cdot \\sqrt{9} \\cdot \\sqrt{b^4}}{\\sqrt{a^6 \\cdot a} \\cdot \\sqrt{(b^3)^2}}=\\frac{2 \\cdot \\sqrt{(a^4)^2 \\cdot a} \\cdot 3 \\cdot b^2}{\\sqrt{(a^3)^2 \\cdot a} \\cdot b^3}=\\frac{6a^4\\sqrt{a} b^2}{a^3 \\sqrt{ab^3}}=\\frac{6a}{b}<\/span>.<\/p>\n<p>\u041d\u0430\u0439\u0434\u0435\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043f\u0440\u0438 <span class=\"katex-eq\" data-katex-display=\"false\">a=2<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">b=10:<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{6a}{b}=\\frac{6 \\cdot 2}{10}=\\frac{12}{10}=1,2<\/span>.<\/p>\n<p><strong>\u041e\u0442\u0432\u0435\u0442:<\/strong> <span class=\"katex-eq\" data-katex-display=\"false\">1,2<\/span>.<\/p>\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n<p><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong>\u0418\u0441\u0442\u043e\u0447\u043d\u0438\u043a:<\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong> \u041e\u0413\u042d 2025. \u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430. 50 \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u043e\u0432. \u0422\u0438\u043f\u043e\u0432\u044b\u0435 \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u044b \u044d\u043a\u0437\u0430\u043c\u0435\u043d\u0430\u0446\u0438\u043e\u043d\u043d\u044b\u0445 \u0437\u0430\u0434\u0430\u043d\u0438\u0439 \u043e\u0442 \u0440\u0430\u0437\u0440\u0430\u0431\u043e\u0442\u0447\u0438\u043a\u043e\u0432 \u041e\u0413\u042d. \u042f\u0449\u0435\u043d\u043a\u043e \u0418. \u0412. (\u0432\u0430\u0440\u0438\u0430\u043d\u0442 12) <\/p>\n<p><script data-noptimize=\"\" data-wpfc-render=\"false\">\nfpm_start( \"true\" );\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f \\displaystyle \\frac{\\sqrt{4a^{9}} \\cdot \\sqrt{9b^4}}{\\sqrt{a^7 b^6}} \u043f\u0440\u0438 a=2 \u0438 b=10. \u0420\u0435\u0448\u0435\u043d\u0438\u0435 \u0412\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u0441\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c\u0438 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430\u043c\u0438 \u0441\u0442\u0435\u043f\u0435\u043d\u0435\u0439 \\displaystyle a^m \\div a^n=a^{m-n} \u0438 \\displaystyle \\sqrt[n]{x^m}=n^{\\frac{n}{m}}. \\displaystyle \\sqrt{\\frac{4a^{9} \\cdot 9b^4}{a^7 b^6}}=\\frac{\\sqrt{4} \\cdot \\sqrt{a^8 \\cdot a} \\cdot \\sqrt{9} \\cdot \\sqrt{b^4}}{\\sqrt{a^6 \\cdot a} \\cdot \\sqrt{(b^3)^2}}=\\frac{2 \\cdot \\sqrt{(a^4)^2 \\cdot a} \\cdot 3 \\cdot b^2}{\\sqrt{(a^3)^2 \\cdot a} \\cdot b^3}=\\frac{6a^4\\sqrt{a} b^2}{a^3 \\sqrt{ab^3}}=\\frac{6a}{b}. [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[31],"tags":[],"class_list":["post-3438","post","type-post","status-publish","format-standard","hentry","category-zadanie-8-oge"],"_links":{"self":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts\/3438","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/comments?post=3438"}],"version-history":[{"count":0,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts\/3438\/revisions"}],"wp:attachment":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/media?parent=3438"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/categories?post=3438"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/tags?post=3438"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}