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Popular >

simplify sqrt(2904)

Solution

simplify

2904

Solution

226

+1

Solution steps

2904

Prime factorization of

2904 : 2^{3} \cdot 3 \cdot 1 1^{2}

= 2^{3} \cdot 3 \cdot 1 1^{2}

Apply exponent rule:

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

2^{3} \cdot 3 \cdot 1 1^{2} = 2^{2} \cdot 2 \cdot 3 \cdot 1 1^{2}

= 2^{2} \cdot 2 \cdot 3 \cdot 1 1^{2}

2^{2} \cdot 2 \cdot 3 \cdot 1 1^{2} = 2^{2} 2 \cdot 3 1 1^{2}

= 2^{2} 2 \cdot 3 1 1^{2}

Apply radical rule:

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

2^{2} = 2

= 2 2 \cdot 3 1 1^{2}

Apply radical rule:

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

1 1^{2} = 11

= 2 2 \cdot 3 \cdot 11

Multiply the numbers:

2 \cdot 11 = 22

= 22 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 226

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Frequently Asked Questions (FAQ)

What is sqrt(2904) ?
The solution to sqrt(2904) is 22sqrt(6)