What is sqrt(\sqrt[3]{\sqrt{8)}} ?

The solution to sqrt(\sqrt[3]{\sqrt{8)}} is \sqrt[4]{2}

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simplify sqrt(\sqrt[3]{\sqrt{8)}}

simplify

Decimal Notation

1.18920 \dots

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

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

= 8^{\frac{1}{12}}

e^{- c}

e^{- e}

e^{- s}

e^{2 x} (e^{x})

(8 y - 2 y^{2}) \cdot (8 y - 2 y^{2})

What is sqrt(\sqrt[3]{\sqrt{8)}} ?
The solution to sqrt(\sqrt[3]{\sqrt{8)}} is \sqrt[4]{2}