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

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

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

Show that the square of any positive integer cannot be of the form 6m+2 or 6m+5 for some integer q.

Show that the square of any positive integer cannot be of the form 6m+2 or 6m+5 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 .

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 5q ,5q+1,5q+4 for some integer q.

Show that the square of any positive integer is either of the form 4q or 4q + 1 form 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