Question

show that there is no positive integer n for which root n - 1+ root n + 1 is a rational​

Answer 1

Step-by-step explanation:

From 3 and 4 both and are rational numbers. Since are rational, we can call it a perfect square having rational square roots. But perfect squares don't differ by 2, but differ atleast by 3. Therefore there is no positive integer 'n' so that is rational.Oct 3, 2016

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