A expressão √8.(∛(√2) )^6/(√2) é igual a?A)4√2 B)2√2 C)8 D)4 E)NDA.... Pergunta de ideia deTrierveiler

Trierveiler @Trierveiler

April 2020 1 59 Report

A expressão √8.(∛(√2) )^6/(√2) é igual a?

A)4√2 B)2√2 C)8 D)4 E)NDA

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adrielcavalcant Faz assim ...
$\frac{ \sqrt[2]{8} * (\sqrt[3]{ \sqrt[2]{2}} )^{6}}{ \sqrt{2} } = \\ \\ \frac{8^{ \frac{1}{2} } * (\sqrt[2]{2} )^{ \frac{6}{3} }}{\sqrt{2}} = \\ \\ \frac{ 2^{(3* \frac{1}{2}) } *(\sqrt[2]{2} )^{2}}{ 2^{ \frac{1}{2} } } = \\ \\ \frac{2^{ \frac{3}{2}} * 2^{ \frac{2}{2} }}{2^{ \frac{1}{2}} } = \frac{2^{ \frac{5}{2} }}{2^{ \frac{1}{2}} } = \\ \\ 2^{ \frac{5}{2} - \frac{1}{2} } = 2^{ \frac{4}{2} } = 2 ^{2} = 4$

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