en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(352)

Solution

simplify

352

Solution

422

+1

Decimal Notation

18.76166 \dots

Solution steps

352

Prime factorization of

352 : 2^{5} \cdot 11

= 2^{5} \cdot 11

Apply exponent rule:

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

2^{5} \cdot 11 = 2^{4} \cdot 2 \cdot 11

= 2^{4} \cdot 2 \cdot 11

Apply radical rule:

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

2^{4} \cdot 2 \cdot 11 = 2^{4} 2 \cdot 11

= 2^{4} 2 \cdot 11

2^{4} = 4

= 4 2 \cdot 11

Multiply the numbers:

2 \cdot 11 = 22

= 422

Popular Examples

4 - \frac{x + 2}{4} = x - 4

simplify 1/(8^{-9)}simplify

\frac{1}{8 ^{- 9}}

1500 = x^{2} + 20 x

∣ - x - 3 ∣ = 5

3 x^{2} - 7 x + 1 = 0

Frequently Asked Questions (FAQ)

What is sqrt(352) ?
The solution to sqrt(352) is 4sqrt(22)