Question

1) use Euclid's division lemma to show that:-
(a) square of any positive odd integer is of the form 3m or 3m+1 or 3m+2​

Answer 1

Answer:

Let 'a' be any positive integer. On dividing it by 3 , let 'q' be the quotient and 'r' be the remainder. On squaring both the sides, Therefore , the square of any positive integer is either of the form 3m or 3m+1.