publication . Preprint . 2009

Proofs of certain properties of irrational roots

Belbas, S. A.;
Open Access English
  • Published: 02 Aug 2009
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.
Subjects
free text keywords: Mathematics - History and Overview, 12A20, 97B40
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