en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2sqrt(125)

Solution

simplify

2125

Solution

105

+1

Decimal Notation

22.36067 \dots

Solution steps

2125

Prime factorization of

125 : 5^{3}

= 2 5^{3}

Apply exponent rule:

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

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

= 2 5^{2} \cdot 5

Apply radical rule:

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

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

= 2 5^{2} 5

Apply radical rule:

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

5^{2} = 5

= 2 \cdot 55

Multiply the numbers:

2 \cdot 5 = 10

= 105

Popular Examples

simplify (9i)/(-4+2i)simplify

\frac{9 i}{- 4 + 2 i}

4 y^{2} = - 12 y

simplify (2(8/15))/(1-(8/15)^2)simplify

\frac{2 ( \frac{8}{15} )}{1 - ( \frac{8}{15} ) ^{2}}

2 x + 4 = 5 x - 2

simplify 2/3 \times 2/3 simplify

\frac{2}{3} \times \frac{2}{3}

Frequently Asked Questions (FAQ)

What is 2sqrt(125) ?
The solution to 2sqrt(125) is 10sqrt(5)