Proofs of certain properties of irrational roots

Details Proofs of certain properties of irrational roots Proofs of certain properties of irrational roots

2009-08-02

arxiv.org/abs/0908.0157v1

Mathematics

History and Overview

9 pages

Scientific paper

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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