Решите, пожалуйста:[tex] \frac{ \sqrt[4]{4} \times \sqrt[3]{64} }{ \sqrt{8} } [/tex]. Created by crmss. algebra-ru

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crmss @crmss

August 2022 2 16 Report

Решите, пожалуйста:
[tex] \frac{ \sqrt[4]{4} \times \sqrt[3]{64} }{ \sqrt{8} } [/tex]

artalex74

Verified answer

$\dfrac{\sqrt[4]{2^2} \cdot \sqrt[3]{2^6}}{\sqrt[]{2^3}} = \dfrac{\sqrt[]{2} \cdot 4}{2\ \sqrt[]{2}} = 2$

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NNNLLL54

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$\frac{\sqrt[4]4\cdot \sqrt[3]{64}}{\sqrt 8}=\frac{\sqrt[4]4\cdot \sqrt[3]{4^3}}{\sqrt{2^3}}=\frac{\sqrt[4]4\cdot 4}{2\sqrt2}=\frac{2\cdot \sqrt[4]4}{\sqrt[4]{2^2}}=2\cdot \sqrt[4]{\frac{4}{4}}=2\cdot 1=2$

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