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Irrational Decision (Posted on 2015-11-15) Difficulty: 3 of 5
Let A be an irrational number and let N is an integer > 1.

Is N√(A + √(A2-1)) + N√( A - √(A2-1)) always an irrational number?

Give reasons for your answer.

No Solution Yet Submitted by K Sengupta    
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re: N=2 only | Comment 2 of 6 |
(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 2015-11-16 07:48:35

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