Question

Show that there is no positive integern for which
root n-1 + root n+1 is rational​

Answer 1

Step-by-step explanation:

⇒(n+1) and (n−1) are perfect square of positive integers. This is not possible as any two perfect squares differ at least by 3. Hence, there is no positive integer n for which (n−1 +n+1 ) is rational.

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