If they're not real numbers, then why learn them? What do we use them for?
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You use any electricity? Anything that plugs in and uses AC, alternating current? Use radios, TV's, cell phones, computers? All that hangs on imaginary numbers. See the link for a simple intro.
http://en.wikipedia.org/wiki/Electrical_impedance
http://en.wikipedia.org/wiki/Electrical_impedance