[tex]4\sqrt[]{-6}\times2\sqrt[]{-3}=(4\times2)(\sqrt[]{-6})(\sqrt[]{-3})=8\sqrt[]{-6}\sqrt[]{-3}[/tex][tex]=8(\sqrt[]{(-1)(6)})(\sqrt[]{(-1)(3)})=8(i\sqrt[]{6})(i\sqrt[]{3})[/tex][tex]=8i^2(\sqrt[]{6})(\sqrt[]{3})=-8(\sqrt[]{(3)(2)})(\sqrt[]{3})=-8(\sqrt[]{3}^2)(\sqrt[]{2})=-24\sqrt[]{2}[/tex]
then the answer will be -24√2
