Algebraic number
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An algebraic number is a root of a polynomial with integer coefficients. Examples include 
, 
, 
, and ![$\frac{4+\sqrt[27]{19}}{\sqrt[3]{4}+\sqrt[7]{97}}$](http://latex.artofproblemsolving.com/f/b/2/fb23020f8042aef7ccbbf8d8585c78fcb421adef.png)
. A number that is not algebraic is called a transcendental number. Examples of transcendental numbers are 
and 
.
Algebraic numbers are studied extensively in algebraic number theory.
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