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Popular >

simplify 5sqrt(60)

Solution

simplify

560

Solution

1015

+1

Decimal

38.72983 \dots

Solution steps

560

Prime factorization of

60 : 2^{2} \cdot 3 \cdot 5

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

Apply radical rule:

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

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

= 5 2^{2} 3 \cdot 5

Apply radical rule:

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

2^{2} = 2

= 5 \cdot 2 3 \cdot 5

Multiply the numbers:

3 \cdot 5 = 15

= 5 \cdot 215

Multiply the numbers:

5 \cdot 2 = 10

= 1015

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Frequently Asked Questions (FAQ)

What is 5sqrt(60) ?
The solution to 5sqrt(60) is 10sqrt(15)