Answer
$\color{blue}{5\sqrt6}$
Work Step by Step
RECALL:
$(a+b)(c+d)=ac+ad+bc+bd$ (popularly known as the FOIL method)
Use the formula above to obtain:
$=(3\sqrt2)(2\sqrt3)+(3\sqrt2)(-\sqrt2)+(\sqrt3)(2\sqrt3)+(\sqrt3)(-\sqrt2)
\\=6\sqrt6-3(2)+2(3)-\sqrt6
\\=6\sqrt6-6+6-\sqrt6
\\=(6\sqrt6-\sqrt6)+(-6+6)
\\=5\sqrt6+0
\\=\color{blue}{5\sqrt6}$
