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Popular >

simplify 3sqrt(250)

Solution

simplify

3250

Solution

1510

+1

Decimal Notation

47.43416 \dots

Solution steps

3250

Prime factorization of

250 : 2 \cdot 5^{3}

= 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

= 3 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

= 3 5^{2} 2 \cdot 5

Apply radical rule:

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

5^{2} = 5

= 3 \cdot 5 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 3 \cdot 510

Multiply the numbers:

3 \cdot 5 = 15

= 1510

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Frequently Asked Questions (FAQ)

What is 3sqrt(250) ?
The solution to 3sqrt(250) is 15sqrt(10)