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Popular >

simplify-sqrt(96)

Solution

simplify

- 96

Solution

- 46

+1

Decimal Notation

- 9.79795 \dots

Solution steps

- 96

Prime factorization of

96 : 2^{5} \cdot 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

= - 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

= - 2^{4} 2 \cdot 3

2^{4} = 4

= - 4 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= - 46

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Frequently Asked Questions (FAQ)

What is simplify-sqrt(96) ?
The solution to simplify-sqrt(96) is -4sqrt(6)