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Popular >

simplify 3sqrt(96)

Solution

simplify

396

Solution

126

+1

Decimal Notation

29.39387 \dots

Solution steps

396

Prime factorization of

96 : 2^{5} \cdot 3

= 3 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

= 3 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

= 3 2^{4} 2 \cdot 3

2^{4} = 4

= 3 \cdot 4 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 3 \cdot 46

Multiply the numbers:

3 \cdot 4 = 12

= 126

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7 \frac{1}{2} + 8 \frac{2}{3} + 5 \frac{3}{4}

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x^{2} + 2 x + 4 - (3 x - 1)

factor n^2+4n-32 factor

n^{2} + 4 n - 32

simplify (6+sqrt(32))/2 simplify

\frac{6 + 32}{2}

Frequently Asked Questions (FAQ)

What is 3sqrt(96) ?
The solution to 3sqrt(96) is 12sqrt(6)