The conjugate of a complex number $z$ is derived by changing the sign of the imaginary component of the complex number. It is denoted as $\bar{z}$.

The conjugate of a (purely) real number is just $\overline{a+(0)i}=a-(0)i=a$ which is just the number itself.

Given that $z=2-3i$ and $w=2+4i$, find $\overline{z+w}$.

Always evaluate whatever is under the bar first.

The conjugate of a conjugate is just the original expression. Given that $z=a+bi$.