en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(600)

Solution

simplify

600

Solution

106

+1

Decimal Notation

24.49489 \dots

Solution steps

600

Prime factorization of

600 : 2^{3} \cdot 3 \cdot 5^{2}

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

Apply exponent rule:

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

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

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

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

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

Apply radical rule:

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

2^{2} = 2

= 2 2 \cdot 3 5^{2}

Apply radical rule:

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

5^{2} = 5

= 2 2 \cdot 3 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 10 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 106

Popular Examples

- 12 y - 16 = 10 y

simplify 8sqrt(4)simplify

84

factor x^3+2x^2+x factor

x^{3} + 2 x^{2} + x

simplify log_{6}(2)+log_{6}(18)simplify

lo g_{6} (2) + lo g_{6} (18)

simplify 7*5/6 simplify

7 \cdot \frac{5}{6}

Frequently Asked Questions (FAQ)

What is sqrt(600) ?
The solution to sqrt(600) is 10sqrt(6)