Answer:

6√3

Explanation 1:

√108=2*54

√108=2*2*27

√108=2*2*3*9

√108=2*2*3*3*3

2*2=2 (paired)

3*3=3 (paired)

3 on own (radical)

√108=2*3√3

√108 = 6√3

Explanation 2:

By factoring, we get

√108 =√36⋅3

36=62 so it is a perfect square.

We can take it out of the radical sign.

√108 = 6√3