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# square

The *square* of a number $x$ is the number obtained multiplying $x$ by itself. It’s denoted as $x^{2}$.

Some examples:

$\displaystyle 5^{2}$ | $\displaystyle=$ | $\displaystyle 25$ | ||

$\displaystyle\left(\frac{1}{3}\right)^{2}$ | $\displaystyle=$ | $\displaystyle\frac{1}{9}$ | ||

$\displaystyle 0^{2}$ | $\displaystyle=$ | $\displaystyle 0$ | ||

$\displaystyle(-0.5)^{2}$ | $\displaystyle=$ | $\displaystyle 0.25$ |

A *perfect square* is the square of an integer. The first few perfect squares are 0, 1, 4, 9, 16, 25, $\ldots$.

Defines:

perfect square

Related:

CubeOfANumber, PerfectPower

Synonym:

second power

Type of Math Object:

Definition

Major Section:

Reference

Groups audience:

## Mathematics Subject Classification

11-00*no label found*26-00

*no label found*30-00

*no label found*

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