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Mathematica® Teacher's Edition (2002)

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Algebraics

FilledSmallSquare Algebraics 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.
FilledSmallSquare 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.
FilledSmallSquare Simplify[expr Algebraics] can be used to try to determine whether an expression corresponds to an algebraic number.
FilledSmallSquare Algebraics is output in TraditionalForm as .
FilledSmallSquare See The Mathematica Book on the web: Section 3.3.10.
FilledSmallSquare See also: Element, Simplify, Integers, Reals.