Question

Simplify the expression insert

Answer 1

First, we are going to perform the division of the fraction inside the radical:

`(96)/(8) =12`
So, we can rewrite our radical as follows:

`\sqrt{ (96)/(8)} = √(12)`

Now, we are going to decompose 12 into prime factors:

`12=2^2*3`
So, we can rewrite our fraction as follows:

`√(12) = √(2^2*3)`

Since 2 has the same exponent as the index of the radical, we can take it out:

`√(2^2*3)=2 √(3)`

We can conclude that the simplified form of the expression is:
`2 √(3)`