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Scientific Calc
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Scientific Calc

How to Divide Complex Numbers

To divide complex numbers. First, find the complex conjugate of the denominator, multiply the numerator and denominator by that conjugate and simplify
Example Let's divide the following 2 complex numbers
Divide Complex numbers problem
Step 1) Determine the conjugate of the denominator The conjugate of (7+4i) is (7-4i)
Step 2) Multiply the numerator and denominator by the conjugate.
Step 3) Simplify. (Remember that i2 =-1)
Video Tutorial on Dividing Complex Numbers

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Practice Problems

Problem 1) Divide the complex numbers below::
Step 1
Problem 2)Find the quotient
Step 1

What About Interesting Complex Quotients?


The next two problems will refer to the following two quotients

Problem 3)
Problem 4)
Make a Prediction: Do you think that there will be anything special or interesting about either of the following quotients? Scroll down the page to see the answer.
Problem 3)Find the quotient
Step 1
Problem 4)Find the quotient
Step 1

A Parting Question


After looking at problem 4, do you think that all complex quotients of the form are equivalent to -1?
Answer