Imaginary numbers

Did you know that there is such a thing as imaginary numbers? Well f you didn't know, then now you do!

So how does an imaginary number look like? Can you even see it? Since it's imaginary and all...

As it turns out, you can see them, and here's an imaginary number --> i

So when do we use imaginary numbers? Well have you ever come across an equation where you got No Solution? Or more specifically, No Real Solutions? 

An example of such a situation is when you try to find the square root of a negative number. 

The thing with square roots is that you cannot find the square root of a negative number, and this is where imaginary numbers come into place! So let's look at the following chart to see how to read imaginary numbers.

i=√-1

i^2=-1

i^3=-i

i^4=1

And now let's say you have √-9 so would that be an imaginary number? Why yes it would, but you may ask, "It doesn't look like an imaginary number because it doesn't have the little i thingy." That is true, so let's find out how to convert a negative radical number into an imaginary number with an i. 

So the first step to do this would be to take out the negative number, like this --> 

√9 √-1 Then √9 would turn into 3 and √-1 would turn into i.  And the last step is to combine them together, and your final answer should be 3i!

                     

                       Poor imaginary numbers, don't forget about them :(