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Algebraics

Algebraics
represents the domain of algebraic numbers, as in xAlgebraics.
  • 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.
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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