Given the numbers:
[tex]8\sqrt[]{5},2\sqrt[]{30}[/tex]we will find the product of the numbers:
[tex]\begin{gathered} 8\sqrt[]{5}\times2\sqrt[]{30}=8\times2\times\sqrt[]{5\times30}=16\sqrt[]{150} \\ 150=25\times6=5^2\times6 \\ \\ 16\sqrt[]{150}=16\sqrt[]{5^2\times6}=16\times5\sqrt[]{6}=80\sqrt[]{6} \end{gathered}[/tex]so, the answer will be:
[tex]80\sqrt[]{6}[/tex]