Express $\;(- \sqrt{3} + \sqrt{-2})(2 \sqrt{3} - i)\;$ in the form $\;a+ib$

Question

$(a)\;(-3+\sqrt{2})+\sqrt{3}(1+2\sqrt{2}) i \qquad(b)\;(-6+\sqrt{3})+\sqrt{3}(1+\sqrt{2}) i \qquad(c)\;(-1+\sqrt{2})+\sqrt{2}(1+2\sqrt{2}) i \qquad(d)\;(-6+\sqrt{2})+\sqrt{3}(1+2\sqrt{2}) i $