en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(1625)

Solution

simplify

1625

Solution

565

+1

Solution steps

1625

Prime factorization of

1625 : 5^{3} \cdot 13

= 5^{3} \cdot 13

Apply exponent rule:

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

5^{3} \cdot 13 = 5^{2} \cdot 5 \cdot 13

= 5^{2} \cdot 5 \cdot 13

Apply radical rule:

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

5^{2} \cdot 5 \cdot 13 = 5^{2} 5 \cdot 13

= 5^{2} 5 \cdot 13

Apply radical rule:

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

5^{2} = 5

= 5 5 \cdot 13

Multiply the numbers:

5 \cdot 13 = 65

= 565

Popular Examples

factor m^2-1 factor

m^{2} - 1

factor x^3-3x^2+x+5 factor

x^{3} - 3 x^{2} + x + 5

simplify (3x^8y^8)/(3x^7y)simplify

\frac{3 x ^{8} y ^{8}}{3 x ^{7} y}

simplify 1/(-5.01^2-25)simplify

\frac{1}{- 5.0 1 ^{2} - 25}

factor 4n^2-5n-6 factor

4 n^{2} - 5 n - 6

Frequently Asked Questions (FAQ)

What is sqrt(1625) ?
The solution to sqrt(1625) is 5sqrt(65)