# How do you write the complex conjugate of the complex number 5-3i ?

Jun 25, 2016

$\overline{5 - 3 i} = 5 + 3 i$

#### Explanation:

Given a complex number $a + b i$, that number's complex conjugate, denoted $\overline{a + b i}$, is given by

$\overline{a + b i} = a - b i$.

In this case, then, we have

$\overline{5 - 3 i} = \overline{5 + \left(- 3 i\right)} = 5 - \left(- 3 i\right) = 5 + 3 i$