en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 5sqrt(27)

Solution

simplify

527

Solution

153

+1

Decimal Notation

25.98076 \dots

Solution steps

527

Prime factorization of

27 : 3^{3}

= 5 3^{3}

Apply exponent rule:

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

3^{3} = 3^{2} \cdot 3

= 5 3^{2} \cdot 3

Apply radical rule:

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

3^{2} \cdot 3 = 3^{2} 3

= 5 3^{2} 3

Apply radical rule:

a^{2} = a, a \geq 0

3^{2} = 3

= 5 \cdot 33

Multiply the numbers:

5 \cdot 3 = 15

= 153

Popular Examples

simplify (1-sqrt(2))/(sqrt(3)-\sqrt{6)}simplify

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

simplify-x^8y*5x^2y^3 simplify

- x^{8} y \cdot 5 x^{2} y^{3}

simplify log_{2}(38)simplify

lo g_{2} (38)

expand (2x-10)(x+3)expand

(2 x - 10) (x + 3)

simplify y/(y^{1/2)}simplify

\frac{y}{y ^{\frac{1}{2}}}

Frequently Asked Questions (FAQ)

What is 5sqrt(27) ?
The solution to 5sqrt(27) is 15sqrt(3)