Question

I do not know what to do for the second one could someone please help me

Answer 1

Given:

Number
`√(96)`

To find:

The simplest radical form.

Solution:

Let us first factor 96 using factor tree.

The image of the factor tree is attached below.

96 = 2 × 2 × 3 × 2 × 2 × 2

= 2² × 3 × 2 × 2²

96 = 2² × 6 × 2²

Taking square root on both sides.

`√(96)=√(2^2* 6 * 2^2)`

`√(96)=√(4* 6 * 4)`

`√(96)=\sqrt{4^2* 6`

Square number and square root get canceled.

`√(96)=4√( 6)`

The simplest radical form of
`√(96)` is
`4√(6)`.