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Popular >

simplify 2sqrt(200)

Solution

simplify

2200

Solution

202

+1

Decimal

28.28427 \dots

Solution steps

2200

Prime factorization of

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

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

Apply exponent rule:

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

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

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

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

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

Apply radical rule:

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

2^{2} = 2

= 2 \cdot 22 5^{2}

Apply radical rule:

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

5^{2} = 5

= 2 \cdot 22 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 2 \cdot 102

Multiply the numbers:

2 \cdot 10 = 20

= 202

Popular Examples

x^{2} > 2 - x

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factor x^2+2x-1 factor

x^{2} + 2 x - 1

-1(a-5)+10<= 12

- 1 (a - 5) + 10 \leq 12

simplify (x^{-1}+y^{-1})/(x^{-2)-y^{-2}}simplify

\frac{x ^{- 1} + y ^{- 1}}{x ^{- 2} - y ^{- 2}}

Frequently Asked Questions (FAQ)

What is 2sqrt(200) ?
The solution to 2sqrt(200) is 20sqrt(2)