en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(512)

Solution

simplify

512

Solution

162

+1

Decimal Notation

22.62741 \dots

Solution steps

512

Prime factorization of

512 : 2^{9}

= 2^{9}

Apply exponent rule:

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

2^{9} = 2^{8} \cdot 2

= 2^{8} \cdot 2

Apply radical rule:

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

2^{8} \cdot 2 = 2^{8} 2

= 2^{8} 2

2^{8} = 16

= 162

Popular Examples

simplify 2/3*2/5 simplify

\frac{2}{3} \cdot \frac{2}{5}

factor c^2-10c+25 factor

c^{2} - 10 c + 25

\frac{3}{4} (x - 1) + x = 1

factor 125-8x^3 factor

125 - 8 x^{3}

simplify log_{10}(0.5)simplify

lo g_{10} (0.5)

Frequently Asked Questions (FAQ)

What is sqrt(512) ?
The solution to sqrt(512) is 16sqrt(2)