Well the square root of a number is a number multiplied by itself.
Perfect Squares
Also, most of the time they'll have you figure out perfect squares. Perfect squares are when a number has a square root that is a whole number. I have listed some below :
√0 = 0
√1 = 1
√4 = 2
√9 = 3
√16 = 4
√25 = 5
√36 = 6
√49 = 7
√64 = 8
√81 = 9
√100 = 10
And so on
Non Perfect Squares
If you are trying to find the square root of for example 51, find the two consecutive numbers that when they are squared, 51 is in the middle (in this case they are 7 and 8). So 7 squared is 49, and 8 squared is 64, right? 51 is 2 away from 49, while 51 is 13 away from 64. So, you estimate. Most teacher will take 7.1 or 7.2 I believe. This part might be confusing, but you will understand after you practice it a few times.
Example:
√95
√81 = 9 and √100 = 10
95 is 14 away from 81 and 5 away from 100
My estimate is 9.7
But your teacher may accept 9.6 too
I hope this helps!