Wiktionary
n. (context mathematics English) A complex number that is a root of a polynomial equation with rational coefficients.
WordNet
n. root of an algebraic equation with rational coefficients
Wikipedia
An algebraic number is any complex number that is a root of a non-zero polynomial in one variable with rational coefficients (or equivalently – by clearing denominators – with integer coefficients). All integers and rational numbers are algebraic, as are all roots of integers. The same is not true for all real and complex numbers because of transcendental numbers such as and e. Almost all real and complex numbers are transcendental.
Usage examples of "algebraic number".
Levin, Fields Medal nominee, post-adolescent genius and wiseguy, the young man who Stephen Hawking says has made the greatest contributions to quantum gravity, the guy who, if you ask him a simple question you get a pageant, endless lectures on chrono-string theory, complexity theory, algebraic number theory, how many pepperonis can dance on the point of a pizza.