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Popular >

simplify sqrt(504)

Solution

simplify

504

Solution

614

+1

Solution steps

504

Prime factorization of

504 : 2^{3} \cdot 3^{2} \cdot 7

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

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

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

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

Apply radical rule:

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

2^{2} = 2

= 2 3^{2} 2 \cdot 7

Apply radical rule:

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

3^{2} = 3

= 2 \cdot 3 2 \cdot 7

Multiply the numbers:

2 \cdot 3 = 6

= 6 2 \cdot 7

Multiply the numbers:

2 \cdot 7 = 14

= 614

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Frequently Asked Questions (FAQ)

What is sqrt(504) ?
The solution to sqrt(504) is 6sqrt(14)