Complex Numbers
A complex number is a number of
the form

a + bi
where a and b are real numbers, and i is the imaginary unit, with the property i ² = −1. The real number a is called the real part of the complex number, and the real number b is the imaginary part. Real numbers may be considered to be complex numbers with an imaginary part of zero; that is, the real number a is equivalent to the complex number a+0i.
Complex numbers are added, subtracted, multiplied, and divided by formally applying the associative, commutative and distributive laws of algebra, together with the equation i² = −1:Addition of Complex Numbers:
Subtraction of Complex Numbers:
Multiplication of Complex Numbers:
Division of Complex Numbers: