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Popular >

simplify \sqrt[8]{sqrt(2)}

Solution

simplify

Solution

+1

Decimal Notation

1.04427 \dots

Solution steps

Apply radical rule:

= (2^{\frac{1}{2}})^{\frac{1}{8}}

Apply exponent rule:

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

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

\frac{1}{2} \cdot \frac{1}{8} = \frac{1}{16}

= 2^{\frac{1}{16}}

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Frequently Asked Questions (FAQ)

What is \sqrt[8]{sqrt(2)} ?
The solution to \sqrt[8]{sqrt(2)} is \sqrt[16]{2}