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Popular >

simplify 2sqrt(250)

Solution

simplify

2250

Solution

1010

+1

Solution steps

2250

Prime factorization of

250 : 2 \cdot 5^{3}

= 2 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 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

= 2 5^{2} 2 \cdot 5

Apply radical rule:

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

5^{2} = 5

= 2 \cdot 5 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 1010

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Frequently Asked Questions (FAQ)

What is 2sqrt(250) ?
The solution to 2sqrt(250) is 10sqrt(10)