# Square Numbers & Square Roots

The Area Of A Square

A square has 4 sides with equal length in each of the 4 sides. Also the square has 4 corners and at each corner two adjacent lines form a 90 degree angle.

The area of a square is the length multiplied by the width of a square. Since the length of a square is equal to the width of the square, we use or .

Source: http://www.clker.com/cliparts/b/e/c/3/131406375432193858green%20square-md.png

Perfect Square Numbers

A square number is the product of a positive whole number multiplied by itself. One example of a square number is 64 as . Other examples of perfect square numbers include 1, 4, 9, 16, 25, 36, and 49.

Here is a sample table of square numbers.

Square Roots

To obtain a perfect square we multiply a positive whole number by itself. If we want to go from a perfect square and obtain that original whole number, the square root will be needed.

The square root works on non-negative numbers and is expressed as . Sometimes is expressed as .

The sample table of square numbers with its square roots is shown below.

Examples

Here are a few more examples of squares and square roots.

The square of is , the square of is . In general the square of where the exponent is a real number is .

The square root of is and the square root of is . In general, the square root of is where is a real number.

Other perfect squares with their square roots which you may encounter from time to time include: