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Popular >

simplify sqrt(\sqrt[8]{16)}

Solution

simplify

Solution

+1

Decimal Notation

1.18920 \dots

Solution steps

Apply radical rule:

= (1 6^{\frac{1}{8}})^{\frac{1}{2}}

Apply exponent rule:

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

= 1 6^{\frac{1}{8} \cdot \frac{1}{2}}

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

= 1 6^{\frac{1}{16}}

Factor the number:

16 = 2^{4}

Apply exponent rule:

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

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Frequently Asked Questions (FAQ)

What is sqrt(\sqrt[8]{16)} ?
The solution to sqrt(\sqrt[8]{16)} is \sqrt[4]{2}