Category:Irrational Numbers

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This category contains results about Irrational Numbers.
Definitions specific to this category can be found in Definitions/Irrational Numbers.

An irrational number is a real number which is not rational.

That is, an irrational number is one that can not be expressed in the form $\dfrac p q$ such that $p$ and $q$ are both integers.

The set of irrational numbers can therefore be expressed as $\R \setminus \Q$, where:

$\R$ is the set of real numbers
$\Q$ is the set of rational numbers
$\setminus$ denotes set difference.