en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

Solution

+1

Decimal Notation

1.18920 \dots

Solution steps

Apply radical rule:

= (4^{\frac{1}{4}})^{\frac{1}{2}}

Apply exponent rule:

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

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

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

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

Factor the number:

4 = 2^{2}

Apply exponent rule:

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

Popular Examples

simplify (2*(4pi)/3)(sqrt(6))^3 simplify

(2 \cdot \frac{4 π}{3}) (6)^{3}

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

\frac{x + 1}{1 - x}

simplify Le^{-t}sin(2t)simplify

L e^{- t} sin (2 t)

simplify \sqrt[ 1/2 ]{\sqrt[ 1/2 ]{\sqrt[4]{4}}}simplify

simplify e^{-3}*3^0 simplify

e^{- 3} \cdot 3^{0}

Frequently Asked Questions (FAQ)

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