Imaginary numbers and complex numbers interest me a lot. Aside from the properties of infinity (), complex numbers are, well… complex! They’re very strange and yet they open a whole new world of numbers beyond the Real numbers .

Let’s find out what real numbers and complex numbers are.

- The
**Real numbers**are the set made up of all the**Rational numbers**and**Irrational numbers**together. - To make our transition into the complex numbers, we need to define what is since it is not a real number. That is to say, there is no real number so that when we square it, it is equal to , (). So we make up a new number to make it work. We
*define*the**Imaginary unit,**to equal , (. - An
**Imaginary number**is a specific kind of complex number written in the form where is a real number and is the imaginary unit. - The
**Complex numbers**are the set that involves a combination of**real**and**imaginary**numbers. They are written in the form , where and are real numbers.

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