Question

Explain, in complete sentences and in your own words, the answers to the following questions relating to complex numbers.

What are the characteristics of a complex number? (1 point)
What is the relationship between a complex number and its conjugate? (2 point)
Describe the usefulness of the conjugate and its effect on other complex numbers. (2 points)

Answer 1

A complex number is of the form a +bi where a is the real part and b is the imaginary part.

A complex number multiplied by its conjugate cancels out the imaginary part,
(a+bi)(a-bi) = a^2 +b^2