What is sqrt(\sqrt[3]{\sqrt{2)}} ?

The solution to sqrt(\sqrt[3]{\sqrt{2)}} is \sqrt[12]{2}

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simplify sqrt(\sqrt[3]{\sqrt{2)}}

simplify

Decimal Notation

1.05946 \dots

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

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

= 2^{\frac{1}{12}}

- x^{2} (x + 1)^{2} (x - 4)

- 25

(\frac{1}{18})^{6} (\frac{17}{18})^{6}

e^{- 0.2 \cdot 0}

What is sqrt(\sqrt[3]{\sqrt{2)}} ?
The solution to sqrt(\sqrt[3]{\sqrt{2)}} is \sqrt[12]{2}