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

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

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

simplify

Decimal Notation

1.05946 \dots

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

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

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

- 42 y

- (4 π \cdot 1 0^{- 7}) (4)

π \cdot 1. 5^{2} \cdot 2 \cdot 2

1.8 x 1 0^{- 1}

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