en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify \sqrt[4]{48^2}

Solution

simplify

Solution

43

+1

Decimal Notation

6.92820 \dots

Solution steps

Apply radical rule:

= (4 8^{2})^{\frac{1}{4}}

Apply exponent rule:

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

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

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

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

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

= 48

Prime factorization of

48 : 2^{4} \cdot 3

= 2^{4} \cdot 3

Apply radical rule:

= 3 2^{4}

Apply radical rule:

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

= 2^{2} 3

Refine

= 43

Popular Examples

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

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

simplify (-1)^n(-3)^n simplify

(- 1)^{n} (- 3)^{n}

simplify \sqrt[3]{\sqrt[3]{512}}simplify

simplify 1.6\times 10^{-4}simplify

1.6 \times 1 0^{- 4}

simplify (6.022*10^{23})(6.626*10^{-34})(3*10^8)simplify

(6.022 \cdot 1 0^{23}) (6.626 \cdot 1 0^{- 34}) (3 \cdot 1 0^{8})

Frequently Asked Questions (FAQ)

What is \sqrt[4]{48^2} ?
The solution to \sqrt[4]{48^2} is 4sqrt(3)