I just want to add with all the excellent responses here is to not get too hung up on the terminology. Real is a defined sub set of numbers. Just like Imaginary is a defined subset of numbers.
Imaginary numbers are still real numbers ( lower case r) they are just not in the set of Real numbers. ( upper case r) also, Imaginary numbers are used all the time in electronics. They are real.
They could just be called Fancy numbers and Less Fancy numbers. They are all numbers.
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