Philippine E-Journals

Denumerability of the Algebraic Numbers

Marleonie M. Bauyot

Discipline: Education

 

Abstract:

An algebraic number is a real number that is a root of a polynomial equation αn Xn + αn-1Xn-1…+α0 where αi are integers. In this paper, using the fact that a polynomial equation of degree n has at most n roots, together with some results, the denumerability of the algebraic numbers is proven.