Answer to Question #10606 in Abstract Algebra for mukul roi
In fact, nearly all numbers you know from the school course are real numbers. Example of numbers which are not real: sqrt(-1), infinity. In pure mathematics there are another concepts of numbers which are not real, but this is rocket science, so to speak.
Real numbers did not have a name before imaginary numbers showed up. They got called "real" because they are not imaginary.
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