Question

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

Answer 1

Answer:

HAVE A DOUBT THAT IS IT A ROOT QUESTION.

IF IT IS THEN THE ANSWER IS-

√n-1 + √n+1 can only be rational if both are whole squares.

the series of whole squares is like this:

1,4,9,16...

n-1 and n+1 have a difference of 2, but the least difference in whole squares is 3 so its impossible.

HOPE THIS ANSWER WOULD HELP YOU....AND MARK IT AS BRAINLIEST...