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P/q = ------ 1
q/p=1/ = /-2
2q/p= ------- 2
adding 1 and 2
\sqrt{n+1} [/tex] = p/q + 2q/p = p + /2pq --3
subtracting 1 from 2
= ------- 4
from 3 and 4
and are rational numbers as and
are rational for integer p and q .
here n+1 and n-1 are perfect square of positive integer.
now,(n+1)-(n-1)=2 which is not possible since any perfect square differ by
at least 3.
thus there is no positive integer n which and is rational.
please make me as a brainlist please
hope it will help you
q/p=1/ = /-2
2q/p= ------- 2
adding 1 and 2
\sqrt{n+1} [/tex] = p/q + 2q/p = p + /2pq --3
subtracting 1 from 2
= ------- 4
from 3 and 4
and are rational numbers as and
are rational for integer p and q .
here n+1 and n-1 are perfect square of positive integer.
now,(n+1)-(n-1)=2 which is not possible since any perfect square differ by
at least 3.
thus there is no positive integer n which and is rational.
please make me as a brainlist please
hope it will help you
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