perplexus.info :: Just Math : Irrational Decision

Irrational Decision (Posted on 2015-11-15)

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.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Solution	Brian Smith	2016-07-09 22:55:15
most of a general proof	Daniel	2015-11-17 15:26:00
re(3): N=2 only	Daniel	2015-11-16 20:53:52
re(2): N=2 only	Jer	2015-11-16 20:48:21
re: N=2 only	broll	2015-11-16 07:48:35
N=2 only	Jer	2015-11-16 07:26:45

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (15)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info