How Do You Divide Complex Numbers Using Conjugates?

How Do You Divide Complex Numbers Using Conjugates?

Note:

To divide complex numbers, you usually need to multiply by the complex conjugate of the denominator. Follow along with this tutorial to see how to find that complex conjugate and multiply with it to perform the division!

Keywords:

  • problem
  • divide
  • dividing
  • complex numbers
  • complex conjugate
  • conjugates

Background Tutorials

  • Fractions

      • What's a Numerator and What's A Denominator?What's a Numerator and What's A Denominator?

      What's a Numerator and What's A Denominator?

      Numerators and denominators are the key ingredients that make fractions, so if you want to work with fractions, you have to know what numerators and denominators are. Lucky for you, this tutorial will teach you some great tricks for remembering what numerators and denominators are all about.

  • Real Number Definitions

      • What's a Real Number?What's a Real Number?

      What's a Real Number?

      Real numbers are numbers that can be found on the number line. This includes both the rational and irrational numbers. This tutorial explains real numbers and gives some great examples. Take a look!

  • Evaluating Expressions

      • What is a Variable?What is a Variable?

      What is a Variable?

      You can't do algebra without working with variables, but variables can be confusing. If you've ever wondered what variables are, then this tutorial is for you!

  • Commutative Associative and Identity Properties

  • Dividing Integers

      • What's a Dividend and What's a Divisor?What's a Dividend and What's a Divisor?

      What's a Dividend and What's a Divisor?

      When you do division problems, you need to know the vocabulary that people use to describe what number is being divided, and what number is doing the dividing. This tutorial will help you keep that vocabulary straight!

  • Imaginary and Complex Numbers

Further Exploration

  • Imaginary and Complex Numbers

      • How Do You Add Complex Numbers?How Do You Add Complex Numbers?

      How Do You Add Complex Numbers?

      If you want to add complex numbers together, first regroup them so that like terms are next to one another. Then, add the like terms together, and you have your answer! To see an example, check out this tutorial.