# Wolfram Language & System 11.0 (2016)|Legacy Documentation

This is documentation for an earlier version of the Wolfram Language.
BUILT-IN WOLFRAM LANGUAGE SYMBOL

# Algebraics

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

## DetailsDetails

• 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 .

## ExamplesExamplesopen allclose all

### Basic Examples  (4)Basic Examples  (4)

An algebraic number:

 In[1]:=
 Out[1]=

is not an algebraic number:

 In[1]:=
 Out[1]=

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

 In[1]:=
 Out[1]=

Find algebraic solutions of an equation:

 In[1]:=
 Out[1]=