# Complex conjugates

#### Everything You Need in One Place

Homework problems? Exam preparation? Trying to grasp a concept or just brushing up the basics? Our extensive help & practice library have got you covered.

#### Learn and Practice With Ease

Our proven video lessons ease you through problems quickly, and you get tonnes of friendly practice on questions that trip students up on tests and finals.

#### Instant and Unlimited Help

Our personalized learning platform enables you to instantly find the exact walkthrough to your specific type of question. Activate unlimited help now!

##### Examples
###### Lessons
1. Find the conjugate of
$\blacksquare \;$ $3+4i$
$\blacksquare \;$ $4-\sqrt6i$
$\blacksquare \;$ $-\sqrt{10}+4i$
$\blacksquare \;$ $i-5$
1. Given that $z=5+6i$, determine $\overline{z}+\overline{z}$
1. Given that $w=i-14$, determine $\overline{w}+w$
1. If $z=15+2i$, $w=28i-7$, determine $w+\overline{z}$
###### Topic Notes
We have seen how conjugates had helped us simplify perplexing problems in the trigonometric identities chapter and the radical functions chapter. What if I tell you that the same principles can also be applied to complex numbers to make our lives better! In this section, we will introduce complex conjugates, as well as how to perform addition and subtraction on them.