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Popular >

simplify 2sqrt(500)

Solution

simplify

2500

Solution

205

+1

Decimal Notation

44.72135 \dots

Solution steps

2500

Prime factorization of

500 : 2^{2} \cdot 5^{3}

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

Apply exponent rule:

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

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

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

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

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

Apply radical rule:

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

2^{2} = 2

= 2 \cdot 2 5^{2} 5

Apply radical rule:

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

5^{2} = 5

= 2 \cdot 2 \cdot 55

Multiply the numbers:

2 \cdot 5 = 10

= 2 \cdot 105

Multiply the numbers:

2 \cdot 10 = 20

= 205

Popular Examples

1/(x+1)+1/(x-2)>= 0

\frac{1}{x + 1} + \frac{1}{x - 2} \geq 0

4q^2-5q=3q^2-8q+10

4 q^{2} - 5 q = 3 q^{2} - 8 q + 10

5 (x - 8) = 30

\frac{1}{x} \leq 1

factor x^2+2xy+y^2-4 factor

x^{2} + 2 x y + y^{2} - 4

Frequently Asked Questions (FAQ)

What is 2sqrt(500) ?
The solution to 2sqrt(500) is 20sqrt(5)