Any solution of a polynomial equation of one variable whose coeffients are in a specific field (usually the rational numbers ).

A number that can be the solution of an algebraic equation; a number that is not transcendental.

root of an algebraic equation with rational coefficients

a (complex) number which is the root of a polynomial with rational coefficienrs

a value which satisfies a certain polynomial relation

In mathematics, an algebraic number is a complex number that is an algebraic element over the rational numbers. In other words, an algebraic number is a root of a non-zero polynomial with rational (or equivalently, integer) coefficients.