Question

What is the easiest way of taking out the square root of a perfect square except the prime factorisation and long division method. also show the working

Answer 1

i guess you can take a number, split it into (a+b) or (a-b) form and square it.
for example,
x be a number. 
x=(a+b) or (a-b)
x^2=(a+b)^2 or (ab)^2
     =a^2 +2ab +b^2 or a^2 -2ab +b^2

for example
find (99)^2
99=(100-1)
(99)= (100-1)^2
  solve it on your own.
i hope its helps.