Question

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

Answer 1

Here the answer is,

Let a be any positive integer of the form 5m, 5m+1 And 5m+2.

Case 1:—a=5m

Squaring on both sides,

a^2=(5m) ^2

a^2=25m^2

a^2=5m(5m),where m(5m)=q

a^2=5q

Other 2 cases will be same as the Case:—1

Hope it will help you!

Answer 2

Answer:

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