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Perfect Square
See It in Action
Two examples of the idea done right—and one common look-alike that is not right.
EXAMPLE
EXAMPLE
NON-EXAMPLE
Definition
A perfect square in math is a number that can be expressed as the square of an integer. In other words, it is a number that results from multiplying an integer by itself.
Mathematically, a number x is a perfect square if there exists an integer n such that:
x = n^2
For example:
16 is a perfect square because 4^2 = 16.
25 is a perfect square because 5^2 = 25.
36 is a perfect square because 6^2 = 36.
The perfect squares of the first few integers are:
1^2 = 1, 2^2 = 4, 3^2 = 9, 4^2 = 16, 5^2 = 25, …
Perfect squares are always non-negative, as squaring any real number results in a non-negative value.
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