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Popular >

simplify sqrt(252)

Solution

simplify

252

Solution

67

+1

Decimal Notation

15.87450 \dots

Solution steps

252

Prime factorization of

252 : 2^{2} \cdot 3^{2} \cdot 7

= 2^{2} \cdot 3^{2} \cdot 7

2^{2} \cdot 3^{2} \cdot 7 = 2^{2} 3^{2} 7

= 2^{2} 3^{2} 7

Apply radical rule:

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

2^{2} = 2

= 2 3^{2} 7

Apply radical rule:

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

3^{2} = 3

= 2 \cdot 37

Multiply the numbers:

2 \cdot 3 = 6

= 67

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Frequently Asked Questions (FAQ)

What is sqrt(252) ?
The solution to sqrt(252) is 6sqrt(7)