There are many different ways to divide the real number system into sub-groups. Perhaps the most obvious division is, positive numbers and negative numbers.
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Graphically the difference is quite clear: the real numbers can be put on a line, the so-called number-line; while complex numbers are represented as points on a plane. A complex number is made up of two parts, like a vector in two dimensions.
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It was the successor to the successor of the number 0.
It is the space between two real numbers.
The n-th root (where n is a natural number) of a real number x is defined as x^(1/n).