Question

How to find square root of 108 step by step ?

Answer 1

First, let's break the 2 numbers down to factors, 48=2x2x2x2x3 108=2x2x3x3x3 Whenever you have a pair of the same factor, you can take both of them of the the square root, and when then come out, only one left. For example, 2x2 inside will be 2 outside. so sr(48) = sr (2x2x2x2x3) 2 pairs of 2 comes out sr(48) = 2x2 sr(3) same goes for sr (108) = 2x3 sr (3) so now the whole equation becomes this 2x2 sr(3) + 2x3 sr (3) or 4 sr (3) + 6 sr (3) now, we notice that both terms contain a common factor "sr(3)" so Let's factor him out sr (3) (4+6) so 10 times square root of 3 is your answer Hope that helps! :)