What is \sqrt[3]{\sqrt[4]{13}} ?

The solution to \sqrt[3]{\sqrt[4]{13}} is \sqrt[12]{13}

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simplify \sqrt[3]{\sqrt[4]{13}}

simplify

Decimal Notation

1.23830 \dots

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

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

= 1 3^{\frac{1}{12}}

4 π 0. 1^{- 7}

e^{5 t} (e^{3 t})

\frac{51}{65}

e^{- 60 (3)}

(4 \cdot 1 0^{3}) (2.4 \cdot 1 0^{2})

What is \sqrt[3]{\sqrt[4]{13}} ?
The solution to \sqrt[3]{\sqrt[4]{13}} is \sqrt[12]{13}