Simplifying with Imaginary Numbers in the Denominator

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Taught by mrbrianmclogan
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Meets NCTM Standards:
Lesson Summary:

In this lesson, you will learn how to simplify expressions that have imaginary numbers in the denominator. The key to simplifying these expressions is to recognize that i is equal to the square root of negative one. To get rid of i on the bottom, you'll need to multiply the numerator and denominator by i. Simplifying the expression after that involves some basic algebraic manipulation and recognizing that i squared is equal to negative one.

Lesson Description:

Simplifying when you have imaginary numbers as your denominator

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