Prove that the square of any positive integer is of the form `5q ,5q+1,5q+4` for some integer q.

Prove that the square of any positive integer is of the form 4q or 4q+1 for some integer q .

Prove that the square of any positive integer is of the form 4q or 4q+1 for some integer q .

Show that the square of an odd positive integer is of the form 8q+1, for some integer qdot

Show that the square of an odd positive integer is of the form 8q+1, for some integer qdot

Show that the square of any positive integer is of the form 3m or, 3m+1 for some integer m .

Show that the square of any positive integer cannot be of the form 5q+2 or 5q+3 for some integer q.

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 sho

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 sho

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 ].

Prove that the square of any positive integer of the form 5q+1 is of the same form.