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Popular >

simplify \sqrt[4]{sqrt(10)}

Solution

simplify

410

Solution

810

+1

Decimal

1.33352 \dots

Solution steps

410

Apply radical rule:

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

= (1 0^{\frac{1}{2}})^{\frac{1}{4}}

Apply exponent rule:

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

= 1 0^{\frac{1}{2} \cdot \frac{1}{4}}

\frac{1}{2} \cdot \frac{1}{4} = \frac{1}{8}

= 1 0^{\frac{1}{8}}

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

= 810

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Frequently Asked Questions (FAQ)

What is \sqrt[4]{sqrt(10)} ?
The solution to \sqrt[4]{sqrt(10)} is \sqrt[8]{10}