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Popular >

simplify 5sqrt(96)

Solution

simplify

596

Solution

206

+1

Solution steps

596

Prime factorization of

96 : 2^{5} \cdot 3

= 5 2^{5} \cdot 3

Apply exponent rule:

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

2^{5} \cdot 3 = 2^{4} \cdot 2 \cdot 3

= 5 2^{4} \cdot 2 \cdot 3

Apply radical rule:

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

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

= 5 2^{4} 2 \cdot 3

2^{4} = 4

= 5 \cdot 4 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 5 \cdot 46

Multiply the numbers:

5 \cdot 4 = 20

= 206

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Frequently Asked Questions (FAQ)

What is 5sqrt(96) ?
The solution to 5sqrt(96) is 20sqrt(6)