What is \sqrt[3]{\sqrt[4]{17}} ?

The solution to \sqrt[3]{\sqrt[4]{17}} is \sqrt[12]{17}

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simplify \sqrt[3]{\sqrt[4]{17}}

simplify

Decimal Notation

1.26630 \dots

Solution steps

Apply radical rule:

= (1 7^{\frac{1}{4}})^{\frac{1}{3}}

Apply exponent rule:

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

= 1 7^{\frac{1}{4} \cdot \frac{1}{3}}

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

= 1 7^{\frac{1}{12}}

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

(23) (512)

(\frac{4}{9})^{2}

e^{- 0.3 \cdot 2}

What is \sqrt[3]{\sqrt[4]{17}} ?
The solution to \sqrt[3]{\sqrt[4]{17}} is \sqrt[12]{17}