Q. 54.3( 39 Votes )

Prove that the sq

Answer :

Given: Integer N > 0


To prove: N2 = 5q + 1


Proof:


Let N = 5p + 1. Then,


According to the condition:


N2 = 25p2 + 10p + 1


5(5p2 + 2p) + 1


5q+1


Where q = 5p2 + 2p


Therefore, N2 is of the form 5q + 1.

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