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November 14th, 2016, 05:36 AM   #1
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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.
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November 14th, 2016, 12:23 PM   #2
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what class is this for?

It seems a deeper problem than basic algebra.
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November 14th, 2016, 01:08 PM   #3
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I don't know. I just found it.
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