pandeyshaurya904 pandeyshaurya904

18-08-2021
Mathematics

contestada

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

Respuesta :

LammettHash LammettHash

18-08-2021

(B) 0

We have

[tex]p^2 = 2q^2 \implies \dfrac{p^2}{q^2} = \left(\dfrac pq\right)^2 = 2[/tex]

but 2 is not a square number.

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