Question

Simplify ="TexFormula1" title=" \sqrt[6]{5} \times \sqrt[2]{5} = " alt=" \sqrt[6]{5} \times \sqrt[2]{5} = " align="absmiddle" class="latex-formula">
sumplify
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Answer 1

Step-by-step explanation:

$\sqrt[6]{5} \times \sqrt[2]{5}$

$= {5}^{ \frac{1}{6} } \times {5}^{ \frac{1}{2} }$

$= {5}^{ \frac{1}{6} + \frac{1}{2} }$

$= {5}^{ \frac{1 + 3}{6} }$

$= {5}^{ \frac{4}{6} }$

$= {5}^{ \frac{2}{3} }$

$= \sqrt[3]{ {5}^{2} } (ans)$