Simplify square root of 5 open parentheses 8 plus 3 square root of 6 close parentheses.
\(\sqrt{5} (8+3 \sqrt{6} )\\ 8 \sqrt{5} +3 \sqrt{6} \sqrt{5} \\ 8 \sqrt{5} +3 \sqrt{30}\)
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
\(8\sqrt{5}+3\sqrt{30}\)