Square Numbers

To square a number, multiply it by itself.

1

12= 1 x 1 = 1     22= 2 x 2 = 4   32= 3 x 3 = 9   42= 4 x 4 = 16   52= 5 x 5 = 25

Note : you are NOT multiplying by 2

12

 

First 50 squares

10 20 30 40 50

 

Squaring a number is called raising it to the power of 2.

Examples of other powers:

12

 

Square roots

The  root of  a square is what you need to be able to make that square.

5

The square root, multiplied by itself, makes the original number.

The special symbol is √

Examples

2 22 11

123

Note : you are NOT dividing by 2!

First 50 square roots

10 20 30 40 50

 

Symbols for other roots

Examples

22 11 15

Rectangular numbers

12

2 23 22

leading to 12

12

Triangular numbers

Starting with rectangular numbers,

12

 

or

44

Since triangular numbers are 1/2 of rectangular numbers,

12

© Alexander Forrest