Number of set values of (p,q), which satisfy relation p^2 = 2q^2 ( where p and q are natural numbers ) options: (A) 1 (B) 0 (C) 2 (D) 3

asked Mar 13, 2022 148k views

2 votes

Number of set values of (p,q), which satisfy relation p^2 = 2q^2 ( where p and q are natural numbers )

options:
(A) 1
(B) 0
(C) 2
(D) 3

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2 votes

(B) 0

We have

$p^2 = 2q^2 \implies (p^2)/(q^2) = \left(\frac pq\right)^2 = 2$

but 2 is not a square number.

UberNeo answered Mar 17, 2022

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