This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.

# Algebraics

 Algebraicsrepresents the domain of algebraic numbers, as in .
• 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.
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:
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Find algebraic solutions of an equation:
 Out[1]=
 Scope   (4)
Test domain membership of a numeric expression:
Make domain membership assumptions:
Specify the default domain for Reduce and Resolve: