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Popular >

simplify 3sqrt(512)

Solution

simplify

3512

Solution

482

+1

Solution steps

3512

Prime factorization of

512 : 2^{9}

= 3 2^{9}

Apply exponent rule:

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

2^{9} = 2^{8} \cdot 2

= 3 2^{8} \cdot 2

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

2^{8} \cdot 2 = 2^{8} 2

= 3 2^{8} 2

2^{8} = 16

= 3 \cdot 162

Multiply the numbers:

3 \cdot 16 = 48

= 482

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Frequently Asked Questions (FAQ)

What is 3sqrt(512) ?
The solution to 3sqrt(512) is 48sqrt(2)