Question

How do you find the complex conjugate of `3 + 1i`?

Answer 1

The complex conjugate of `3+1i` is `3-1i`

Explanation:

The complex conjugate of a number is another number with a real component equal to the original number and an imaginary component equal in magnitude but with the opposite sign.

`color(red)("real")+color(blue)("imaginary")`

`color(red)(3)+color(blue)(1i)`

So the complex conjugate is
`color(red)(3) + color(blue)((-1i)) = color(red)(3)color(blue)(-1i)`