Simplifying Rational Expressions with Imaginary Denominators

Sick of ads?‚Äč Sign up for MathVids Premium
Taught by mrbrianmclogan
  • Currently 4.0/5 Stars.
950 views | 1 rating
Part of video series
Meets NCTM Standards:
Lesson Summary:

In this lesson, we learn how to add rational expressions with imaginary denominators. The key is to multiply one denominator by the other and then simplify using the difference of two squares. Remember that i represents the square root of negative one, and when adding complex numbers, you can only add the real parts with the real parts and the imaginary parts with the imaginary parts. Finally, we can put the answer in standard form, which is a plus bi.

Lesson Description:

Adding rational expressions with imaginary conjugates

I show how to solve math problems online during live instruction in class. This is my way of providing free tutoring for the students in my class and for students anywhere in the world. Every video is a short clip that shows exactly how to solve math problems step by step. The problems are done in real time and in front of a regular classroom. These videos are intended to help you learn how to solve math problems, review how to solve a math problems, study for a test, or finish your homework. I post all of my videos on YouTube, but if you are looking for other ways to interact with me and my videos you can follow me on the following pages through My Blog, Twitter, or Facebook.

Questions answered by this video:
  • 2/(3+i) + 3/(2+i)=
  • Simplify (2+i)(3-4i)