Question

Is it possible to write the square of a number in the form 3m+3 ? Justify.

Answer 1

9m+9 is the answer for this question

Answer 2

a=bq+r where 0<= r < b
therefore 0 =< r <3
Therefore r= 0,1,2
If a=bq+r where r =2
a=3q+2
squaring both sides a2= (3q+2)2
a2 = 9q​2 +4 +12q
a2 = 3 (3q2 +4q ) +4
a2= 3m+4 .
So, square of any poistive integer cant form 3m +2

hope it will help you