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Popular >

simplify sqrt(500)

Solution

simplify

500

Solution

105

+1

Decimal Notation

22.36067 \dots

Solution steps

500

Prime factorization of

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

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

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

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

Apply radical rule:

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

2^{2} = 2

= 2 5^{2} 5

Apply radical rule:

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

5^{2} = 5

= 2 \cdot 55

Multiply the numbers:

2 \cdot 5 = 10

= 105

Popular Examples

(x-1)(x-2)(x-3)<0

(x - 1) (x - 2) (x - 3) < 0

simplify 5-5 simplify

5 - 5

0=16t^2+60t-340

0 = 16 t^{2} + 60 t - 340

\frac{x + 3}{x - 2} < 2

2 x^{2} = 7 x + 6

Frequently Asked Questions (FAQ)

What is sqrt(500) ?
The solution to sqrt(500) is 10sqrt(5)