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Popular >

simplify 4sqrt(60)

Solution

simplify

460

Solution

815

+1

Decimal Notation

30.98386 \dots

Solution steps

460

Prime factorization of

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

= 4 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

= 4 2^{2} 3 \cdot 5

Apply radical rule:

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

2^{2} = 2

= 4 \cdot 2 3 \cdot 5

Multiply the numbers:

3 \cdot 5 = 15

= 4 \cdot 215

Multiply the numbers:

4 \cdot 2 = 8

= 815

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Frequently Asked Questions (FAQ)

What is 4sqrt(60) ?
The solution to 4sqrt(60) is 8sqrt(15)