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An imaginary number has the form b*i, where b is any real number, and i is the imaginary unit number sqrt(-1). A complex number is in the form a + b*i, where a and b are any real number. Complex numbers are called complex, because they combine numbers from the real domain and the imaginary domain.

I thought the Wikipedia article was very good. Also, Answers.com has a video about complex and imaginary numbers.

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Q: Why are complex numbers imaginary?
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