en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify \sqrt[4]{sqrt(8)}

Solution

simplify

Solution

+1

Decimal Notation

1.29683 \dots

Solution steps

8 = 22

Apply radical rule:

Apply radical rule:

Apply radical rule:

= 2^{\frac{1}{4}} \cdot 2^{\frac{1}{8}}

Apply exponent rule:

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

2^{\frac{1}{4}} \cdot 2^{\frac{1}{8}} = 2^{\frac{1}{4} + \frac{1}{8}}

= 2^{\frac{1}{4} + \frac{1}{8}}

\frac{1}{4} + \frac{1}{8} = \frac{3}{8}

= 2^{\frac{3}{8}}

Popular Examples

simplify 0.01*10^{-6}simplify

0.01 \cdot 1 0^{- 6}

simplify \sqrt[8]{y^5}simplify

simplify 7e^{-1}simplify

7 e^{- 1}

simplify 1.7*10^{-3}simplify

1.7 \cdot 1 0^{- 3}

simplify 3*e^{-2}simplify

3 \cdot e^{- 2}

Frequently Asked Questions (FAQ)

What is \sqrt[4]{sqrt(8)} ?
The solution to \sqrt[4]{sqrt(8)} is \sqrt[8]{2^3}