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arXiv · 0908.0157

Proofs of certain properties of irrational roots

S. A. Belbas
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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.

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S. A. Belbas. 2009-08-02. Proofs of certain properties of irrational roots. https://arxiv.org/abs/0908.0157

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