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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

Popular Examples

simplify m/(1/3+\frac{18){m}}simplify

\frac{m}{\frac{1}{3} + \frac{18}{m}}

6 x - 18 \leq 27

(t-20)= 1/(0.0038)

(t - 20) = \frac{1}{0.0038}

\frac{- 1}{2} n + 6 = - 10

(2 y + 21)^{2} = 75

Frequently Asked Questions (FAQ)

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