Question

Simplify the expression insert

Answer 1

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: $2 \sqrt{3}$