Verified Answer :

\(\sqrt{5} (8+3 \sqrt{6} )\\ 8 \sqrt{5} +3 \sqrt{6} \sqrt{5} \\ 8 \sqrt{5} +3 \sqrt{30}\)
As far as I can tell, that is as far as the expression can be simplified :)

Answer: Simplified form would be

\(8\sqrt{5}+3\sqrt{30}\)

Step-by-step explanation:

Since we have given that

\(\sqrt{5}(8+3\sqrt{6})\)

We just need to simplify the above expression:

\(\sqrt{5}(8+3\sqrt{6})\\\\=8\sqrt{5}+3\sqrt{6}\times \sqrt{5}\\\\=8\sqrt{5}+3\sqrt{30}\)

Hence, simplified form would be

\(8\sqrt{5}+3\sqrt{30}\)