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Popular >

simplify sqrt(250)

Solution

simplify

250

Solution

510

+1

Solution steps

250

Prime factorization of

250 : 2 \cdot 5^{3}

= 2 \cdot 5^{3}

Apply exponent rule:

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

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

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

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

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

= 5^{2} 2 \cdot 5

Apply radical rule:

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

5^{2} = 5

= 5 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 510

Popular Examples

- 4 x \geq - 8

-5x^2-20x+35=30

- 5 x^{2} - 20 x + 35 = 30

2 \leq 3 x - 13 \leq 5

26 = - 12 y - 9 + 24

x^{2} + 10 x - 7 = 0

Frequently Asked Questions (FAQ)

What is sqrt(250) ?
The solution to sqrt(250) is 5sqrt(10)