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Popular >

simplify sqrt(\sqrt[5]{100)}

Solution

simplify

Solution

+1

Decimal Notation

1.58489 \dots

Solution steps

Apply radical rule:

= (10 0^{\frac{1}{5}})^{\frac{1}{2}}

Apply exponent rule:

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

= 10 0^{\frac{1}{5} \cdot \frac{1}{2}}

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

= 10 0^{\frac{1}{10}}

Factor the number:

100 = 1 0^{2}

Apply exponent rule:

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

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Frequently Asked Questions (FAQ)

What is sqrt(\sqrt[5]{100)} ?
The solution to sqrt(\sqrt[5]{100)} is \sqrt[5]{10}