Answer
11+16i
Work Step by Step
We multiply by the conjugate to find:
$$\frac{(5+2i)(3+2i)}{13} $$
For imaginary numbers, we know that standard form is $a\pm bi$, where $a$ is the real part and $b$ is the imaginary part. We also know that $i^2=-1$. Thus, we simplify the expression until it is in standard form to obtain:
$$15-4 +10i+6i \\ 11+16i$$
