What is sqrt(\sqrt[3]{\sqrt{5)}} ?

The solution to sqrt(\sqrt[3]{\sqrt{5)}} is \sqrt[12]{5}

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

simplify

Decimal Notation

1.14352 \dots

Solution steps

Apply radical rule:

= (5^{\frac{1}{6}})^{\frac{1}{2}}

Apply exponent rule:

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

= 5^{\frac{1}{6} \cdot \frac{1}{2}}

\frac{1}{6} \cdot \frac{1}{2} = \frac{1}{12}

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

(14)^{2}

7 5^{2}

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What is sqrt(\sqrt[3]{\sqrt{5)}} ?
The solution to sqrt(\sqrt[3]{\sqrt{5)}} is \sqrt[12]{5}