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Popular >

simplify 3sqrt(150)

Solution

simplify

3150

Solution

156

+1

Decimal Notation

36.74234 \dots

Solution steps

3150

Prime factorization of

150 : 2 \cdot 3 \cdot 5^{2}

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

Apply radical rule:

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

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

= 3 2 \cdot 3 5^{2}

Apply radical rule:

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

5^{2} = 5

= 3 2 \cdot 3 \cdot 5

Multiply the numbers:

2 \cdot 3 = 6

= 36 \cdot 5

Multiply the numbers:

3 \cdot 5 = 15

= 156

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Frequently Asked Questions (FAQ)

What is 3sqrt(150) ?
The solution to 3sqrt(150) is 15sqrt(6)