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Popular >

simplify sqrt(504)

Solution

simplify

504

Solution

614

+1

Decimal Notation

22.44994 \dots

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

Popular Examples

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\frac{- 4 a ^{- 2} b ^{4}}{8 a ^{- 6} b ^{- 3}}

3(4x-1)(4x+3)=48x

3 (4 x - 1) (4 x + 3) = 48 x

-2r^2-12r+10=-12

- 2 r^{2} - 12 r + 10 = - 12

x^{2} + 4 x - 5 = 0

4 r^{2} + 44 r + 121 = 0

Frequently Asked Questions (FAQ)

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