Question

Find the sum of 9-4i and it’s complex conjugate

Answer 1

The complex conjugate of something is essentially just taking the opposite sign of the imaginary part. The following are complex conjugates:

a + bi

a - bi

In this case the complex conjugate of 9 - 4i is 9 + 4i

Now we must add them together like so:

(9 - 4i) + (9 + 4i)

9 - 4i + 9 + 4i

^^^Combine like terms

(9 + 9) + (-4i + 4i)

18 + 0

18

As you can see when you add complex conjugates your answer will be a real number

Hope this helped!

~Just a girl in love with Shawn Mendes