Algebraics

Algebraics

represents the domain of algebraic numbers, as in xAlgebraics.

Details

  • Algebraic numbers are defined to be numbers that solve polynomial equations with rational coefficients.
  • xAlgebraics evaluates immediately only for quantities x that are explicitly constructed from rational numbers, radicals, and Root objects, or are known to be transcendental.
  • Simplify[exprAlgebraics] can be used to try to determine whether an expression corresponds to an algebraic number.
  • Algebraics is output in TraditionalForm as .

Examples

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Basic Examples  (4)

An algebraic number:

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is not an algebraic number:

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The square root of an algebraic number is an algebraic number:

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Find algebraic solutions of an equation:

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Scope  (4)

Properties & Relations  (3)

Possible Issues  (1)

See Also

Element  Simplify  Integers  Root  Extension  Reals  Rationals  Complexes

Tutorials

Introduced in 1999
(4.0)