Square numbers, why are they important?
4,9,16,25,36,49,64,81,100 (hint: it’s a sequence, for more information please refer to “Linear Sequences” tutorial) Because n^2=s and √s=n the square numbers can be taken out of the square root and it becomes simply n.
In other words, from formula m√a×n√b≡=(m×n) √(a×b)≡(mn) √ab if a=s or b=s. Let’s illustrate this with an example:
Using the rule √ab≡√(a×b)≡ √a×√b and √s=n provided that n2=s, then: