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

The solution to \sqrt[3]{\sqrt[3]{27}} is cube root of 3

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

simplify

Decimal Notation

1.44224 \dots

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

\frac{1}{3} \cdot \frac{1}{3} = \frac{1}{9}

= 2 7^{\frac{1}{9}}

Factor the number:

27 = 3^{3}

Apply exponent rule:

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

8 \cdot 1 0^{- 4} \cdot 25 \cdot 0.3 \cdot \frac{1}{2}

1.2831 \cdot 1 0^{6} \cdot 0. 1^{- 0.42119}

((10 \cdot 1 0^{- 12}) \cdot (1 + (70))) \cdot (1 0^{12})

e^{- \frac{32}{19}}

3.99 \cdot 1 0^{- 5} \cdot \frac{1}{3} \cdot 39 0^{3}

What is \sqrt[3]{\sqrt[3]{27}} ?
The solution to \sqrt[3]{\sqrt[3]{27}} is cube root of 3