Algebraics

Algebraics represents the domain of algebraic numbers, as in x Algebraics.

Algebraic numbers are defined to be numbers that solve polynomial equations with rational coefficients.

x Algebraics evaluates immediately only for quantities x that are explicitly constructed from rational numbers, radicals and Root objects, or are known to be transcendental.

Simplify[expr Algebraics] can be used to try to determine whether an expression corresponds to an algebraic number.

Algebraics is output in TraditionalForm as .

See Section 3.3.10.

See also: Element, Simplify, Integers, Root, Extension, Reals.

New in Version 4.

Further Examples