What is (sqrt(972))/(sqrt(4)) ?

The solution to (sqrt(972))/(sqrt(4)) is 9sqrt(3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (sqrt(972))/(sqrt(4))

simplify

\frac{972}{4}

93

Decimal Notation

15.58845 \dots

Solution steps

\frac{972}{4}

Apply radical rule:

\frac{a}{b} = \frac{a}{b}, a \geq 0, b \geq 0

\frac{972}{4} = \frac{972}{4}

= \frac{972}{4}

Divide the numbers:

\frac{972}{4} = 243

= 243

Prime factorization of

243 : 3^{5}

= 3^{5}

Apply exponent rule:

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

3^{5} = 3^{4} \cdot 3

= 3^{4} \cdot 3

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

3^{4} \cdot 3 = 3^{4} 3

= 3^{4} 3

3^{4} = 9

= 93

4 x (x + 3)

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

\frac{2}{9 + 6 i}

(m - n)^{2} - (m + n)^{2}

(a - \frac{1}{2})^{2}

What is (sqrt(972))/(sqrt(4)) ?
The solution to (sqrt(972))/(sqrt(4)) is 9sqrt(3)