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Popular >

simplify \sqrt[4]{\sqrt[4]{3}}

Solution

simplify

Solution

+1

Solution steps

Apply radical rule:

= (3^{\frac{1}{4}})^{\frac{1}{4}}

Apply exponent rule:

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

= 3^{\frac{1}{4} \cdot \frac{1}{4}}

\frac{1}{4} \cdot \frac{1}{4} = \frac{1}{16}

= 3^{\frac{1}{16}}

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Frequently Asked Questions (FAQ)

What is \sqrt[4]{\sqrt[4]{3}} ?
The solution to \sqrt[4]{\sqrt[4]{3}} is \sqrt[16]{3}