Proofs of certain properties of irrational roots
Belbas, S. A.
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.