Examples

Complex multiplication

Compute the products:

(a) (b)

Solution

(a)

Expand:

Simplify :

(b)

Expand:

Simplify :

Complex division

Compute the following divisions of complex numbers:

(a) (b) (c) (d)

Solution

(a)

Conjugate is :

Simplify:

(b)

Conjugate is :

(c)

Factor out the :

Use :

(d)

Denominator conjugate is :

Simplify: