# What is the conjugate of the complex number -5 - 5i?

The conjugate of $- 5 - 5 i$ is $- 5 + 5 i$.
The conjugate of a complex number $a + b i$ is defined as $a - b i$. Letting $a = - 5$ and $b = - 5$, we find the conjugate of $- 5 - 5 i$ to be $- 5 + 5 i$.