en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify \sqrt[3]{sqrt(100)}

Solution

simplify

Solution

+1

Decimal Notation

2.15443 \dots

Solution steps

Apply radical rule:

= (10 0^{\frac{1}{2}})^{\frac{1}{3}}

Apply exponent rule:

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

= 10 0^{\frac{1}{2} \cdot \frac{1}{3}}

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

= 10 0^{\frac{1}{6}}

Factor the number:

100 = 1 0^{2}

Apply exponent rule:

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

Popular Examples

simplify 6x^2y^2 simplify

6 x^{2} y^{2}

simplify (1+sqrt(3))(1+sqrt(3))simplify

(1 + 3) (1 + 3)

simplify e^{-ln(tan(x)+sec(x))}simplify

e^{- l n (t a n (x) + s e c (x))}

simplify (sqrt(x+1))(sqrt(x-4))simplify

(x + 1) (x - 4)

simplify 9.76152*10^{-23}simplify

9.76152 \cdot 1 0^{- 23}

Frequently Asked Questions (FAQ)

What is \sqrt[3]{sqrt(100)} ?
The solution to \sqrt[3]{sqrt(100)} is cube root of 10