en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(6500)

Solution

simplify

6500

Solution

1065

+1

Decimal Notation

80.62257 \dots

Solution steps

6500

Prime factorization of

6500 : 2^{2} \cdot 5^{3} \cdot 13

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

Apply exponent rule:

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

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

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

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

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

Apply radical rule:

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

2^{2} = 2

= 2 5^{2} 5 \cdot 13

Apply radical rule:

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

5^{2} = 5

= 2 \cdot 5 5 \cdot 13

Multiply the numbers:

2 \cdot 5 = 10

= 10 5 \cdot 13

Multiply the numbers:

5 \cdot 13 = 65

= 1065

Popular Examples

3 \frac{2}{4} \div 4

simplify 5(4-3x)simplify

5 (4 - 3 x)

simplify (2x)/9-5/6 simplify

\frac{2 x}{9} - \frac{5}{6}

simplify 18/66 simplify

\frac{18}{66}

simplify 9/5 x+32 simplify

\frac{9}{5} x + 32

Frequently Asked Questions (FAQ)

What is sqrt(6500) ?
The solution to sqrt(6500) is 10sqrt(65)