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Popular >

simplify (\sqrt[5]{sqrt(2)})^2

Solution

simplify

Solution

+1

Decimal Notation

1.14869 \dots

Solution steps

Apply radical rule:

= (2^{\frac{1}{10}})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= 2^{\frac{1}{10} \cdot 2}

\frac{1}{10} \cdot 2 = \frac{1}{5}

= 2^{\frac{1}{5}}

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Frequently Asked Questions (FAQ)

What is (\sqrt[5]{sqrt(2)})^2 ?
The solution to (\sqrt[5]{sqrt(2)})^2 is \sqrt[5]{2}