Question

What is the complex conjugate of `-4+sqrt2i`?

Answer 1

`-4-sqrt2i`

Explanation:

The real and imaginary parts of a complex number are of equal magnitude to its conjugate, but the imaginary part is opposite in sign.

We denote the conjugate of a complex number, if the complex number is `z`, as `barz`

If we have the complex number `z=-4+sqrt2i`,

`Re(barz)=-4`

`Im(barz)=-sqrt2`

`:.barz=-4-sqrt2i`