Saturday, 28 November 2020 08:38 AM
Let 'a' be any positive integer.On dividing it by 3 , let 'q' be the quotient and 'r' be the remainder.Such that ,a = 3q + r , where r = 0 ,1 , 2When, r = 0? a = 3qWhen, r = 1? a = 3q + 1When, r = 2? a = 3q + 2When , a = 3qOn squaring both the sides,When, a = 3q + 1On squaring both the sides ,When, a = 3q + 2On squaring both the sides,Therefore , the square of any positive integer is either of the form 3m or 3m+1.