Proofs of certain properties of irrational roots
History and Overview
2009-08-04 v1
Abstract
We give two elementary proofs, at a level understandable by students with only pre-calculus knowledge of Algebra, of the well known fact that an irreducible irrational n-th root of a positive rational number cannot be solution of a polynomial of degree less than n with rational coefficients. We also state and prove a few simple consequences.
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Cite
@article{arxiv.0908.0157,
title = {Proofs of certain properties of irrational roots},
author = {S. A. Belbas},
journal= {arXiv preprint arXiv:0908.0157},
year = {2009}
}
Comments
9 pages