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Popular >

simplify \sqrt[5]{sqrt(\sqrt[6]{3)}}

Solution

simplify

Solution

+1

Solution steps

Apply radical rule:

= (3^{\frac{1}{12}})^{\frac{1}{5}}

Apply exponent rule:

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

= 3^{\frac{1}{12} \cdot \frac{1}{5}}

\frac{1}{12} \cdot \frac{1}{5} = \frac{1}{60}

= 3^{\frac{1}{60}}

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Frequently Asked Questions (FAQ)

What is \sqrt[5]{sqrt(\sqrt[6]{3)}} ?
The solution to \sqrt[5]{sqrt(\sqrt[6]{3)}} is \sqrt[60]{3}