What is \sqrt[3]{\sqrt[4]{27}} ?

The solution to \sqrt[3]{\sqrt[4]{27}} is \sqrt[4]{3}

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simplify \sqrt[3]{\sqrt[4]{27}}

simplify

Decimal Notation

1.31607 \dots

Solution steps

Apply radical rule:

= (2 7^{\frac{1}{4}})^{\frac{1}{3}}

Apply exponent rule:

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

= 2 7^{\frac{1}{4} \cdot \frac{1}{3}}

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

= 2 7^{\frac{1}{12}}

Factor the number:

27 = 3^{3}

Apply exponent rule:

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

\frac{n}{n + 3}

\frac{3}{7}^{2}

3 (8 - 27)

((ln (x))^{x^{2}})^{- 1}

What is \sqrt[3]{\sqrt[4]{27}} ?
The solution to \sqrt[3]{\sqrt[4]{27}} is \sqrt[4]{3}