tex]...

hardw0rker @hardw0rker

July 2022 1 3 Report

Найдите значение выражения :[tex] \frac{ \sqrt{294} *\sqrt{200} }{ \sqrt{243} } [/tex]

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hote

Verified answer

$\displaystyle \frac{ \sqrt{294}* \sqrt{200}}{ \sqrt{243}}= \frac{ \sqrt{3*2*7*7}* \sqrt{2*10*10}}{ \sqrt{3*9*9}}= \frac{7* \sqrt{3}* \sqrt{2}*10* \sqrt{2}}{9* \sqrt{3}}=$

$\displaystyle = \frac{7*10* \sqrt{2}* \sqrt{2}}{9}= \frac{7*10*2}{9}= \frac{140}{9} =15 \frac{5}{9}$

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