Question

Select the correct answer.Simplify.√96OA. 24√4ОВ. 6√4OC. 4√6OD. 16√6

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

√96

Step 02:

We must analyze the root to find the solution.

96 | 2

48 | 2

24 | 2

12 | 2

6 | 2

3 | 3

1

`96\text{ = 2 }^5\text{ * 3 }`
`√(2^5*3)=√(2^4*2*3)=2^{(4)/(2)}√(2*3)=2^2√(6)=4√(6)`

The answer is:

4√6