My Math Forum Decide whether α must be a rational number. Completely don't know how to do it...

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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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