#### Answer

$38+9i$

#### Work Step by Step

Using $(a+b)(c+d)=ac+ad+bc+bd$, or the product of 2 binomials, and the properties of radicals, the given expression, $
(6-5i)(3+4i)
,$ simplifies to
\begin{array}{l}\require{cancel}
6(3)+6(4i)-5i(3)-5i(4i)
\\\\=
18+24i-15i-20i^2
\\\\=
18+9i-20i^2
\\\\=
18+9i-20(-1)
\\\\=
18+9i+20
\\\\=
38+9i
.\end{array}