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Popular >

simplify sqrt(2744)

Solution

simplify

2744

Solution

1414

+1

Solution steps

2744

Prime factorization of

2744 : 2^{3} \cdot 7^{3}

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

Apply exponent rule:

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

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

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

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

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

Apply radical rule:

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

2^{2} = 2

= 2 7^{2} 2 \cdot 7

Apply radical rule:

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

7^{2} = 7

= 2 \cdot 7 2 \cdot 7

Multiply the numbers:

2 \cdot 7 = 14

= 1414

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Frequently Asked Questions (FAQ)

What is sqrt(2744) ?
The solution to sqrt(2744) is 14sqrt(14)