en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand sqrt(200)

Solution

expand

200

Solution

102

+1

Decimal Notation

14.14213 \dots

Solution steps

200

Prime factorization of

200 : 2^{3} \cdot 5^{2}

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

Apply exponent rule:

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

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

Apply radical rule:

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

Apply radical rule:

2^{2} = 2

= 22 5^{2}

Apply radical rule:

5^{2} = 5

= 2 \cdot 52

Refine

= 102

Popular Examples

expand ln(1+9(x-pi))expand

ln (1 + 9 (x - π))

expand (5x^4)(ln(x)+1)expand

(5 x^{4}) (ln (x) + 1)

expand ((4+x)(4-x))/(x^2)expand

\frac{( 4 + x ) ( 4 - x )}{x ^{2}}

expand (y^2-1)dx+(2xy)dy expand

(y^{2} - 1) d x + (2 x y) d y

expand (6+e^x)^2 expand

(6 + e^{x})^{2}

Frequently Asked Questions (FAQ)

What is expand sqrt(200) ?
The solution to expand sqrt(200) is 10sqrt(2)