What is \sqrt[3]{sqrt(125)} ?

The solution to \sqrt[3]{sqrt(125)} is square root of 5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify \sqrt[3]{sqrt(125)}

simplify

5

Decimal Notation

2.23606 \dots

Solution steps

125 = 55

Apply radical rule:

= 5^{\frac{1}{3}} \cdot 5^{\frac{1}{6}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

5^{\frac{1}{3}} \cdot 5^{\frac{1}{6}} = 5^{\frac{1}{3} + \frac{1}{6}}

= 5^{\frac{1}{3} + \frac{1}{6}}

\frac{1}{3} + \frac{1}{6} = \frac{1}{2}

= 5^{\frac{1}{2}}

Apply exponent rule:

a^{\frac{1}{2}} = a

5^{\frac{1}{2}} = 5

= 5

e^{- 0.04}

6^{3}

\frac{n + 1}{n}

5 e^{- 1}

What is \sqrt[3]{sqrt(125)} ?
The solution to \sqrt[3]{sqrt(125)} is square root of 5