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.

Q. 54.3( 39 Votes )

Prove that the sq

Class 10th

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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