we have
[tex]4\sqrt{5}(3\sqrt{5}+8\sqrt{2})[/tex]Apply distributive property
[tex]4\sqrt{5}(3\sqrt{5})+4\sqrt[]{5}(8\sqrt{2})[/tex][tex]12\sqrt[]{25}+32\sqrt[]{10}[/tex]simplify
[tex]\begin{gathered} 12(5)+32\sqrt[]{10} \\ 60+32\sqrt[]{10} \end{gathered}[/tex]