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Show that there is no positive integer n. for which √(n-1)+√(n+1) is rational.

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asked Jan 29, 2018 in Mathematics by sforrest072 (157,439 points) ● 61 ● 410 ● 949
Show that there is no positive integer n. for which √(n-1)+√(n+1) is rational.

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answered Jan 29, 2018 by mdsamim (213,225 points) ● 5 ● 10 ● 15
selected Jan 29, 2018 by sforrest072
 
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√(n+1) and √(n-1) are perfect squares of positive integer. It contradict the fact that two perfect squares differ at least by 3.

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