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Popular >

simplify 4sqrt(252)

Solution

simplify

4252

Solution

247

+1

Decimal Notation

63.49803 \dots

Solution steps

4252

Prime factorization of

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

= 4 2^{2} \cdot 3^{2} \cdot 7

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

= 4 2^{2} 3^{2} 7

Apply radical rule:

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

2^{2} = 2

= 4 \cdot 2 3^{2} 7

Apply radical rule:

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

3^{2} = 3

= 4 \cdot 2 \cdot 37

Multiply the numbers:

2 \cdot 3 = 6

= 4 \cdot 67

Multiply the numbers:

4 \cdot 6 = 24

= 247

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Frequently Asked Questions (FAQ)

What is 4sqrt(252) ?
The solution to 4sqrt(252) is 24sqrt(7)