What is \sqrt[3]{\sqrt[3]{8}} ?

The solution to \sqrt[3]{\sqrt[3]{8}} is cube root of 2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify \sqrt[3]{\sqrt[3]{8}}

simplify

Decimal Notation

1.25992 \dots

Solution steps

Apply radical rule:

= (8^{\frac{1}{3}})^{\frac{1}{3}}

Apply exponent rule:

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

= 8^{\frac{1}{3} \cdot \frac{1}{3}}

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

= 8^{\frac{1}{9}}

Factor the number:

8 = 2^{3}

Apply exponent rule:

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

2 e^{- 1} \cdot (3 e^{3})^{2}

x (5 x^{3})

\frac{e ^{- 24}}{e ^{- 8}}

(e^{3})^{- 2}

What is \sqrt[3]{\sqrt[3]{8}} ?
The solution to \sqrt[3]{\sqrt[3]{8}} is cube root of 2