Category:Definitions/Irrational Numbers

This category contains definitions related to Irrational Numbers.
Related results can be found in Category: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.