Question

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

Answer 1

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)`.