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Popular >

simplify sqrt(\sqrt[5]{12)}

Solution

simplify

512

Solution

1012

+1

Decimal

1.28208 \dots

Solution steps

512

Apply radical rule:

n a = a^{\frac{1}{n}}

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

Apply exponent rule:

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

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

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

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

a^{\frac{1}{n}} = n a

= 1012

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Frequently Asked Questions (FAQ)

What is sqrt(\sqrt[5]{12)} ?
The solution to sqrt(\sqrt[5]{12)} is \sqrt[10]{12}