# Identifying Perfect Squares

Take the whole numbers and square them:

$$ \begin{gather} \cssId{s2}{0^2 = 0}\cr \cssId{s3}{1^2 = 1}\cr \cssId{s4}{2^2 = 4}\cr \cssId{s5}{3^2 = 9}\cr \end{gather} $$

and so on.

The resulting numbers
$\,0,\, 1,\, 4,\, 9,\, 16,\, 25,\, 36,\, \ldots\,$ are called
*perfect squares*.

*perfect square*if and only if there exists a whole number $\,n\,$ for which $\,p = n^2\,.$

In other words:
How do you get to be a *perfect square*?
Answer:
By being equal to the square of some whole number.
(Recall that the *whole numbers* are
$\,0,\, 1,\, 2,\, 3,\, \ldots\,$)

In this exercise, you will decide if a given number is a perfect square. The key is to rename the number (if possible) as a whole number, squared! You may want to review this section first: Equal or Opposites?

## Examples

Be careful! The numbers $\,-6^2\,$ and $\,(-6)^2\,$ represent different orders of operation, and are different numbers!