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 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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