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Popular >

simplify sqrt(648)

Solution

simplify

648

Solution

182

+1

Solution steps

648

Prime factorization of

648 : 2^{3} \cdot 3^{4}

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

Apply exponent rule:

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

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

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

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

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

Apply radical rule:

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

2^{2} = 2

= 22 3^{4}

3^{4} = 9

= 22 \cdot 9

Multiply the numbers:

2 \cdot 9 = 18

= 182

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simplify (1+sqrt(2))^2-1/((1+sqrt(2))^2)simplify

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Frequently Asked Questions (FAQ)

What is sqrt(648) ?
The solution to sqrt(648) is 18sqrt(2)