An "Algebraic Number" is a real number that is the solution to some polynomial equation with integer coefficients. This includes all the rational numbers, as well as square roots, cube roots, etc., and combinations of those.

It is known that $\pi$ and $e$ are not algebraic numbers - they are transcendental numbers.

AbsoluteValue
ArgandDiagram
CauchySequence
ComplexConjugate
ComplexNumber
ComplexPlane
ContinuedFraction
ContinuumHypothesis
CubeRoot
DedekindCut
DifferenceOfTwoSquares
DividingComplexNumbers
DividingRealNumbers
Divisor
FundamentalTheoremOfAlgebra
GeorgCantor
ImaginaryNumber
Integer
IrrationalNumber
Logarithm
MagnitudeOfAVector
MultiplyingRealNumbers
NewUserIntroduction
NewtonsMethod
PolarRepresentationOfAComplexNumber
Quaternion
RationalNumber
RiemannHypothesis
RootsOfPolynomials
SubtractingRealNumbers
TranscendentalNumber
UncountableSet
Function
SquareRoot
FermatNumber
ImageOfAFunction
InverseFunction
SquareNumber
RealNumber DomainOfAFunction
MathematicsTaxonomy
TypesOfNumber

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AlgebraicNumber
CubeRoot
Integer
Polynomial
RationalNumber
SquareRoot
TranscendentalNumber
ContinuedFraction
DedekindCut
CauchySequence
IrrationalNumber
CoDomainOfAFunction
ComplexNumber
CountableSet
Denominator
DomainOfAFunction
Function
FundamentalTheoremOfAlgebra
ImageOfAFunction
ImaginaryNumber
Numerator
Pythagoras
ReducingFractionsToLowestTerms
RiemannSurface
Root
RootTwoIsIrrational
RootsOfPolynomials
WholeNumber