What is sqrt(\sqrt[4]{\sqrt{2)}} ?

The solution to sqrt(\sqrt[4]{\sqrt{2)}} is \sqrt[16]{2}

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simplify sqrt(\sqrt[4]{\sqrt{2)}}

simplify

Decimal Notation

1.04427 \dots

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

\frac{1}{8} \cdot \frac{1}{2} = \frac{1}{16}

= 2^{\frac{1}{16}}

π \cdot 1 0^{- 4}

2.35 \cdot 1 0^{- 8}

10 e^{- 500}

\frac{( w ^{(2)} )}{( x ^{(2)} )}

What is sqrt(\sqrt[4]{\sqrt{2)}} ?
The solution to sqrt(\sqrt[4]{\sqrt{2)}} is \sqrt[16]{2}