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Being transcendental implies necessarily being irrational?

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    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.2012-04-06

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

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    "Polynomials have precise definitions" is somewhat a matter of convention and habit. Beyond that there is only logical consistency. The question is whether these definitions stand in the light of new data. Please see the reference to geometry in the question "Is the diagonal of a square truly irrational?"2013-06-07