# How do you write the complex conjugate of the complex number  5 - 6i?

Mar 29, 2018

The Complex Conjugate of color(red)((5-6i) is color(blue)((5+6i).

#### Explanation:

Complex Conjugate:

The complex conjugate of color(red)(z=a + bi is color(blue)(a – bi, and similarly the complex conjugate of color(blue)(a – bi is color(red)(a + bi.

This consists of changing the sign of the imaginary part of a complex number.

The real part of the complex number is left unaltered.

We are given the complex number: color(red)((a+bi) = (5-6i)

Hence, the complex conjugate of color(red)((5-6i) is color(blue)((5+6i).