Найдите значение выражения[tex] \sqrt{25+4 \sqrt{21} } [/tex] + [tex] \sqrt{70-14 \sqrt{21} } [/tex]. Created by borodach246. algebra-ru

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August 2022 1 2 Report

Найдите значение выражения[tex] \sqrt{25+4 \sqrt{21} } [/tex] + [tex] \sqrt{70-14 \sqrt{21} } [/tex]

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wnull $\sqrt{25+4\sqrt{21}} + \sqrt{70-14\sqrt{21}} \\ 
1) \sqrt{21+2*2\sqrt{21} +4} = \sqrt{(\sqrt{21} +2)^2} = \sqrt{21} + 2 \\ 
2) \sqrt{49-2*7\sqrt{21} + 21} = \sqrt{ (7-\sqrt{21})^2 } = 7 - \sqrt{21} \\ 
\sqrt{21}+2+7-\sqrt{21}=9$

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borodach246 July 2022 | 0 Ответы

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