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Algebraics

Algebraics
represents the domain of algebraic numbers, as in .
MORE INFORMATION
  • Algebraic numbers are defined to be numbers that solve polynomial equations with rational coefficients.
  • evaluates immediately only for quantities x that are explicitly constructed from rational numbers, radicals, and Root objects, or are known to be transcendental.
  • Simplify can be used to try to determine whether an expression corresponds to an algebraic number.
EXAMPLESCLOSE ALL
Basic Examples   (4)
An algebraic number:
is not an algebraic number:
The square root of an algebraic number is an algebraic number:
Find algebraic solutions of an equation:
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:
In[1]:=
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Find algebraic solutions of an equation:
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Scope   (4)
Test domain membership of a numeric expression:
Make domain membership assumptions:
Specify the default domain for Reduce and Resolve:
TraditionalForm of formatting:
Properties & Relations   (3)
Algebraics is contained in Complexes:
Algebraics neither contains nor is contained in Reals:
Possible Issues   (1)
Some numbers are not yet known to be algebraic or not:
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