2. $\frac{3+2i}{6-5i}$
Multiply numerator and denominator by the conjugate of $6-5i$ which is $6+5i$
$\frac{3+2i}{6-5i} \cdot \frac{6+5i}{6+5i}=\frac{18+27i-10}{36+25}=\frac{8+27i}{61}=\frac{8}{61}+\frac{27} {61}i$