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allsm [11]
2 years ago
14

Which expression is equivalent to StartFraction StartRoot 2 EndRoot Over RootIndex 3 StartRoot 2 EndRoot EndFraction?.

Mathematics
1 answer:
miskamm [114]2 years ago
7 0

The expression is equivalent to \sqrt[6]{2}.

<h2>Given that</h2>

Expression; \dfrac{\sqrt{2}}{\sqrt[3]{2} }

<h3>We have to determine</h3>

The equivalent expression to the given expression.

<h3>According to the question</h3>

To determine the equivalent relation following all the steps given below.

Expression; \dfrac{\sqrt{2}}{\sqrt[3]{2} }

The equivalent expression is;

= \dfrac{\sqrt{2}}{\sqrt[3]{2} }\\\\= \dfrac{2^{\frac{1}{2}}}{2^{\frac{1}{3}}}\\\\ = 2^{\frac{1}{2}-\frac{1}{3}}\\\\ = 2 ^{\frac{3-2}{6}}\\\\= 2^{\frac{1}{6}}\\\\= \sqrt[6]{2}

Hence, the expression is equivalent to \sqrt[6]{2}.

To know more about Expression click the link given below.

brainly.com/question/16450385

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