Let A be an irrational number and let N is an integer > 1.
Is ^{N}√(A + √(A^{2}1)) + ^{N}√( A  √(A^{2}1)) always an irrational number?
Give reasons for your answer.
(In reply to
N=2 only by Jer)
Which is clearly not rational if A is not rational.
It's rational if A is an integer.
It's generally, but not always, irrational if A is rational.
Does it necessarily follow that it's always irrational if A is irrational?
Edited on November 16, 2015, 8:18 am

Posted by broll
on 20151116 07:48:35 