en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (\sqrt[4]{12})^2

Solution

simplify

Solution

23

+1

Decimal Notation

3.46410 \dots

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

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

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

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

= 12

Prime factorization of

12 : 2^{2} \cdot 3

= 2^{2} \cdot 3

Apply radical rule:

= 3 2^{2}

Apply radical rule:

2^{2} = 2

= 23

Popular Examples

simplify 4/pi 10^{-2}simplify

\frac{4}{π} 1 0^{- 2}

simplify e^{-3t}sin(2wt)simplify

e^{- 3 t} sin (2 wt)

simplify e^{-cos(x)}*e^{cos(x)}simplify

e^{- c o s (x)} \cdot e^{c o s (x)}

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

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

simplify (1/3 e^{-2})^{-4}simplify

(\frac{1}{3} e^{- 2})^{- 4}

Frequently Asked Questions (FAQ)

What is (\sqrt[4]{12})^2 ?
The solution to (\sqrt[4]{12})^2 is 2sqrt(3)