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

1 Answer
Mar 29, 2018

Answer:

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)#.