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

Nov 6, 2016

$- 4 - \sqrt{2} i$

#### 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 $\overline{z}$

If we have the complex number $z = - 4 + \sqrt{2} i$,

$R e \left(\overline{z}\right) = - 4$

$I m \left(\overline{z}\right) = - \sqrt{2}$

$\therefore \overline{z} = - 4 - \sqrt{2} i$