Perfect Square Number Calculator

What Is a Perfect Square?

A perfect square is a non-negative integer that can be expressed as the square of an integer. In other words, if there exists an integer \(n\) such that \(n^2 = x\), then \(x\) is a perfect square.

How to Determine if a Number Is a Perfect Square

1. Verify that \(x\) is a non-negative integer.
2. Calculate the square root of \(x\), \(n = \sqrt{x}\).
3. Check if \(n\) is an integer (i.e., \(n^2 = x\)). If \(n\) is an integer, \(x\) is a perfect square; otherwise, it is not.

Examples

Example 1: Is 16 a Perfect Square?

Example 2: Is 20 a Perfect Square?

Example 3: Is 289 a Perfect Square?

Example 4: Is 1728 a Perfect Square?

First 100 Perfect Squares