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
+1495 
