Simplifying Rational Expressions with Complex Conjugate Denominators

Sick of ads?‚Äč Sign up for MathVids Premium
Taught by mrbrianmclogan
  • Currently 4.0/5 Stars.
1135 views | 1 rating
Part of video series
Meets NCTM Standards:
Lesson Summary:

In this lesson, we learn how to subtract two rational expressions that have complex numbers as denominators. To get the common denominator, we can multiply the two denominators by the complex conjugate of each other, which will allow us to combine the fractions. To simplify the expression, we use the distributive property and cancel out the middle terms since they are conjugates of each other. Substituting -1 for i^2 allows us to simplify the expression further and put it in standard form, a + bi, where a and b are real numbers.

Lesson Description:

Simplifying two rational expressions with complex conjugates as denominators

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)