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

The solution to \sqrt[4]{\sqrt[4]{3}} is \sqrt[16]{3}

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

simplify

Decimal Notation

1.07107 \dots

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

\frac{1}{4} \cdot \frac{1}{4} = \frac{1}{16}

= 3^{\frac{1}{16}}

- 1.415 e^{- 0.5 \cdot 2}

(ln (x - 3))^{- 1}

- 4.1 \cdot 1 0^{- 7}

e^{- c} \cdot e^{x}

What is \sqrt[4]{\sqrt[4]{3}} ?
The solution to \sqrt[4]{\sqrt[4]{3}} is \sqrt[16]{3}