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ComplexesRationals

Algebraics

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

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

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

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

FilledSmallSquareAlgebraics is output in TraditionalForm as .

FilledSmallSquare See The Mathematica Book: Section 3.3.10.

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

Further Examples

ComplexesRationals