en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(270)

Solution

simplify

270

Solution

330

+1

Decimal Notation

16.43167 \dots

Solution steps

270

Prime factorization of

270 : 2 \cdot 3^{3} \cdot 5

= 2 \cdot 3^{3} \cdot 5

Apply exponent rule:

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

2 \cdot 3^{3} \cdot 5 = 2 \cdot 3^{2} \cdot 3 \cdot 5

= 2 \cdot 3^{2} \cdot 3 \cdot 5

Apply radical rule:

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

2 \cdot 3^{2} \cdot 3 \cdot 5 = 3^{2} 2 \cdot 3 \cdot 5

= 3^{2} 2 \cdot 3 \cdot 5

Apply radical rule:

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

3^{2} = 3

= 3 2 \cdot 3 \cdot 5

Multiply the numbers:

2 \cdot 3 \cdot 5 = 30

= 330

Popular Examples

1 = - 4 y

∣ 4 x + 6 ∣ = ∣ 2 x + 4 ∣

- 4 z = 48

simplify sqrt((-2)^4)simplify

(- 2)^{4}

simplify (4x-y)/(x-y)+(x-3y)/(y-x)simplify

\frac{4 x - y}{x - y} + \frac{x - 3 y}{y - x}

Frequently Asked Questions (FAQ)

What is sqrt(270) ?
The solution to sqrt(270) is 3sqrt(30)