# How do you divide #(3 + 2i) / (2 - 6i)#?

##### 1 Answer

Mar 28, 2016

#### Answer:

You must multiply the whole expression by the conjugate of the denominator, just like you did when you were younger when you were to rationalize the denominator.

#### Explanation:

The conjugate forms a difference of squares. Therefore, to find it, you must switch the sign in the middle.

Thus, the conjugate is

Now multiply. Don't forget that

Don't forget that you can combine

This is as simplified as possible.

**Practice exercises:**

- Evaluate:

a).

b).

Good luck!