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Popular >

simplify \sqrt[3]{sqrt(10)}

Solution

simplify

310

Solution

610

+1

Decimal

1.46779 \dots

Solution steps

310

Apply radical rule:

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

= (1 0^{\frac{1}{2}})^{\frac{1}{3}}

Apply exponent rule:

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

= 1 0^{\frac{1}{2} \cdot \frac{1}{3}}

\frac{1}{2} \cdot \frac{1}{3} = \frac{1}{6}

= 1 0^{\frac{1}{6}}

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

= 610

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{sqrt(10)} ?
The solution to \sqrt[3]{sqrt(10)} is \sqrt[6]{10}