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Popular >

simplify sqrt(\sqrt[4]{16)}

Solution

simplify

Solution

2

+1

Solution steps

Apply radical rule:

= (1 6^{\frac{1}{4}})^{\frac{1}{2}}

Apply exponent rule:

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

= 1 6^{\frac{1}{4} \cdot \frac{1}{2}}

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

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

Factor the number:

16 = 2^{4}

Apply exponent rule:

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

= 2

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Frequently Asked Questions (FAQ)

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