What is \sqrt[4]{\sqrt[3]{5}} ?

The solution to \sqrt[4]{\sqrt[3]{5}} is \sqrt[12]{5}

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simplify \sqrt[4]{\sqrt[3]{5}}

simplify

Decimal Notation

1.14352 \dots

Solution steps

Apply radical rule:

= (5^{\frac{1}{3}})^{\frac{1}{4}}

Apply exponent rule:

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

= 5^{\frac{1}{3} \cdot \frac{1}{4}}

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

= 5^{\frac{1}{12}}

e^{- 58}

(9.32 \times 1 0^{3}) (3.32 \times 1 0^{2})

T (150) 31 e^{- 0.0176 \cdot 150}

What is \sqrt[4]{\sqrt[3]{5}} ?
The solution to \sqrt[4]{\sqrt[3]{5}} is \sqrt[12]{5}