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November 14th, 2016, 05:36 AM  #1 
Newbie Joined: Nov 2016 From: Slovenia Posts: 24 Thanks: 0  Decide whether α must be a rational number. Completely don't know how to do it...
Let $\alpha$ be a real number such that tan($\alpha$ · $\pi$) = √2. Decide whether $\alpha$ must be a rational number.
Last edited by skipjack; November 14th, 2016 at 08:03 AM. 
November 14th, 2016, 12:23 PM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,530 Thanks: 1390 
what class is this for? It seems a deeper problem than basic algebra. 
November 14th, 2016, 01:08 PM  #3 
Newbie Joined: Nov 2016 From: Slovenia Posts: 24 Thanks: 0 
I don't know. I just found it.


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