What is \sqrt[4]{\sqrt[3]{2}} ?

The solution to \sqrt[4]{\sqrt[3]{2}} is \sqrt[12]{2}

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simplify \sqrt[4]{\sqrt[3]{2}}

simplify

Decimal Notation

1.05946 \dots

Solution steps

Apply radical rule:

= (2^{\frac{1}{3}})^{\frac{1}{4}}

Apply exponent rule:

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

= 2^{\frac{1}{3} \cdot \frac{1}{4}}

\frac{1}{3} \cdot \frac{1}{4} = \frac{1}{12}

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

(9 - x^{2})^{- 0.5}

16 e^{4 x} \cdot e^{4 x}

1.35 \cdot 1 0^{- 11}

1.4 \cdot 1 0^{- 12}

What is \sqrt[4]{\sqrt[3]{2}} ?
The solution to \sqrt[4]{\sqrt[3]{2}} is \sqrt[12]{2}