Q. 13.8( 23 Votes )

Show that the squ

Answer :

Let a be any positive integer.

Then a = 8m + 1 where m is some integer


a = 8m + 1


a2 = (8m + 1)2


= 64m2 + 16m + 1


= 8q + 1


Where q = 8m2 + 2m


Hence square of an odd integer is of the form 8q + 1 where q is a positive integer.


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