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Salsk061 [2.6K]
4 years ago
14

Simplify the expression insert

Mathematics
1 answer:
Georgia [21]4 years ago
6 0
First, we are going to perform the division of the fraction inside the radical:
\frac{96}{8} =12
So, we can rewrite our radical as follows:
\sqrt{ \frac{96}{8}} = \sqrt{12}

Now, we are going to decompose 12 into prime factors:
12=2^2*3
So, we can rewrite our fraction as follows:
\sqrt{12} = \sqrt{2^2*3}

Since 2 has the same exponent as the index of the radical, we can take it out:
\sqrt{2^2*3}=2 \sqrt{3}

We can conclude that the simplified form of the expression is: 2 \sqrt{3}
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