en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(20000)

Solution

simplify

20000

Solution

1002

+1

Solution steps

20000

Prime factorization of

20000 : 2^{5} \cdot 5^{4}

= 2^{5} \cdot 5^{4}

Apply exponent rule:

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

2^{5} \cdot 5^{4} = 2^{4} \cdot 2 \cdot 5^{4}

= 2^{4} \cdot 2 \cdot 5^{4}

2^{4} \cdot 2 \cdot 5^{4} = 2^{4} 2 5^{4}

= 2^{4} 2 5^{4}

2^{4} = 4

= 42 5^{4}

5^{4} = 25

= 42 \cdot 25

Multiply the numbers:

4 \cdot 25 = 100

= 1002

Popular Examples

simplify (9^{2-1}+36^{2-1}+125^{3-1})/(4^{2-1)}simplify

\frac{9 ^{2 - 1} + 3 6 ^{2 - 1} + 12 5 ^{3 - 1}}{4 ^{2 - 1}}

5 x^{2} + 14 x = 3

4 ∣ n ∣ - 19 = 13

z^{2} + 36 = 13 z

simplify-(6)^{-1}simplify

- (6)^{- 1}

Frequently Asked Questions (FAQ)

What is sqrt(20000) ?
The solution to sqrt(20000) is 100sqrt(2)