An algebraic number is a number that is the root of some polynomial with integer coefficients. Algebraic numbers can be real or complex and need not be rational.

If r is a root of a nonzero polynomial equation a_n x^n + a_(n - 1) x^(n - 1) + ... + a_1 x + a_0 = 0, where the a_is are integers (or equivalently, rational numbers) and r satisfies no similar equation of degree

algebraic integer | algebraic number minimal polynomial | algebraic number theory | algebraic period | Euclidean number | Hermite-Lindemann theorem | number field | Q^_ | radical integer | transcendental number

college level