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Being transcendental implies necessarily being irrational?

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The contrapositive of your statement (rational implies not transcendental) is trivially true. – you Mar 10 '12 at 21:43
from me you get an upvote for this question. At least it is useful (otherwise i would not understand the high rating of the answer) and clear. – miracle173 Mar 17 '12 at 16:11
Dear dot dot, we do not delete questions which already have answers (much less when the answers have been upvoted this much!) because at that point it would result in the work of the answered being deleted along with the question. – Mariano Suárez-Alvarez♦ Apr 6 '12 at 3:03

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Yes. If it were rational, then it would be the root of a degree one polynomial.

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Wow. I like to keep track of those answers which get (I hope not to offend you) more votes than the mathematical content deserves. Cool – mixedmath♦ Mar 14 '12 at 5:48
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@mixedmath: Nope, not offended. Here is one more for your collection: math.stackexchange.com/questions/2284/… :-) – Aryabhata Mar 14 '12 at 5:59

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