[tex]\bf \begin{array}{cccl} (\sqrt{-30})&\qquad &(\sqrt{-6})\\\\ (\sqrt{-1\cdot 5\cdot 6})&&(\sqrt{-1\cdot 6})\\\\ (\sqrt{-1}\cdot \sqrt{5}\cdot \sqrt{6})&&(\sqrt{-1}\cdot \sqrt{6})\\\\ (i\sqrt{5}\sqrt{6})&&(i\sqrt{6}) \end{array} \\\\[-0.35em] ~\dotfill\\\\ i\cdot i\cdot \sqrt{5}\cdot \sqrt{6}\cdot \sqrt{6}\implies i^2\sqrt{5}\sqrt{6^2}\implies -1\sqrt{5}\cdot 6\implies \boxed{-6\sqrt{5}}[/tex]
