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### Course: Precalculus > Unit 3

Lesson 3: Complex conjugates and dividing complex numbers# Dividing complex numbers review

Review your complex number division skills.

## How do we divide complex numbers?

Dividing a complex number by a real number is simple. For example:

Finding the quotient of two complex numbers is more complex (haha!). For example:

We multiplied both sides by the

**conjugate**of the denominator, which is a number with the same real part and the opposite imaginary part. What's neat about conjugate numbers is that their product is*always*a real number. Let's continue:Multiplying the denominator $(3+2i)$ by its conjugate $(3-2i)$ had the desired effect of getting a real number in the denominator. To keep the quotient the same, we had to multiply the numerator by $(3-2i)$ as well. Now we can finish the calculation:

*Want to learn more about dividing complex numbers? Check out this video.*

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