Properties of Complex Numbers:
Given that X, Y, and Z are real numbers, then the following are
true:
Definition of i: i =
√(1) and i^{2} = 1. "i" is referred to as an
"imaginary number".
Extract i From a Square Root:
√(A) = i
√A where A is a real number < 0.
We could also cite this property as the Definition of i.
Standard Form: Every complex number may be written in
the form A + Bi where A and B are real number coefficients and i is
the square root of 1. This is known as the "Standard Form" of a
complex number.
Real Number Properties Apply to Complex Numbers: All Basic
Properties of Real Numbers apply to complex numbers. In other words,
we can multiply out terms with the Distributive Property,
Combine Like Terms, etc.
