2. How do we divide complex numbers? Do Now: What is the conjugate? Explain why do we multiply a complex number and its conjugate Do Now: What is the conjugate? Explain why do we multiply a complex number and its conjugate

3. Now that we can multiply, we can divide!  When multiplying or dividing, we need to make sure that we simplify any radicals or imaginary numbers.  If we divide by a complex number, then we automatically have a conflict: WE CAN NOT HAVE AN IMAGINARY NUMBER IN THE DENOMINATOR!!  When multiplying or dividing, we need to make sure that we simplify any radicals or imaginary numbers.  If we divide by a complex number, then we automatically have a conflict: WE CAN NOT HAVE AN IMAGINARY NUMBER IN THE DENOMINATOR!!

4. Rationalizing  Once again we need to rationalize  We need to find our creative name for one.  Before we used the denominator as our key.  Ex.  Once again we need to rationalize  We need to find our creative name for one.  Before we used the denominator as our key.  Ex.

5. Multiply by the conjugate  To rationalize the denominator, we multiply by the conjugate to create a real number.  Ex.  To rationalize the denominator, we multiply by the conjugate to create a real number.  Ex.

6. Example

7. Try on your own