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Popular >

simplify sqrt(180)

Solution

simplify

180

Solution

65

+1

Decimal

13.41640 \dots

Solution steps

180

Prime factorization of

180 : 2^{2} \cdot 3^{2} \cdot 5

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

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

= 2^{2} 3^{2} 5

Apply radical rule:

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

2^{2} = 2

= 2 3^{2} 5

Apply radical rule:

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

3^{2} = 3

= 2 \cdot 35

Multiply the numbers:

2 \cdot 3 = 6

= 65

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Frequently Asked Questions (FAQ)

What is sqrt(180) ?
The solution to sqrt(180) is 6sqrt(5)