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# irrational

An *irrational number* is a real number which cannot be represented as a ratio of two integers. That is, if $x$ is irrational, then

$x\neq\frac{a}{b}$ |

with $a,b\in\mathbb{Z}$ and $b\neq 0$.

# Examples

# Properties

Related:

TranscedentalNumber, AlgebraicNumber, Integer,LindemannWeierstrassTheorem, GelfondsTheorem, ProofThatTheRationalsAreCountable

Synonym:

irrational number

Type of Math Object:

Definition

Major Section:

Reference

Groups audience:

## Mathematics Subject Classification

11J82*no label found*11J72

*no label found*

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