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Properties of Complex Numbers:

Given that X, Y, and Z are real numbers, then the following are true:

Definition of i:  i = √(-1) and i2 = -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.

 

 

 

 

 

 

 

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