Use Euclid’s division lemma to show that the square of any positive integer is either of the form 3m or 3m + 1 for some integer ‘m’.

(Hint: Let x be any positive integer then it is of the form 3q, 3q + 1 or 3q + 2. Now square each of these and show that they can be rewritten in the form 3m or 3m + 1)