Proofs of certain properties of irrational roots
Preprint
English
OPEN
Belbas, S. A.
(2009)

Subject:
Mathematics  History and Overview  12A20  97B40
We give two elementary proofs, at a level understandable by students with only precalculus knowledge of Algebra, of the well known fact that an irreducible irrational nth 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.