I asked my maths methods teacher about this before (if imaginary numbers could be used anywhere) he went whacko at me and said you just simply can't because the square root of a negative doesn't exist. He said Imaginary numbers are there to help you understand maths better and is an extension of learning maths BUT I.N s can't be used practically.
That's what my maths teacher said. Prove him wrong and I will be happy to tell him
"Well as to the use of imaginary numbers (the complex number system), if the algebra teacher I had when I was back in highschool is correct, imaginary numbers did come into play (an application thereof) when radio technology was being developed. Though I have worked with some circuit design (in regards to computers) I have not looked into this to see if he was correct. Imaginary numbers could have their practical applications however."