Answer:
The simplified form is,
\(\boxed{\boxed{6\sqrt{5}+9\sqrt{7}}}\)
Step-by-step explanation:
The given expression is,
\(=2\sqrt{20}-3\sqrt{7}+2\sqrt{5}+4\sqrt{63}\)
\(=2\sqrt{4\times 5}-3\sqrt{7}+2\sqrt{5}+4\sqrt{9\times 7}\)
\(=2(\sqrt{4}\times \sqrt{5})-3\sqrt{7}+2\sqrt{5}+4(\sqrt{9}\times \sqrt{7})\)
\(=2(2\times \sqrt{5})-3\sqrt{7}+2\sqrt{5}+4(3\times \sqrt{7})\)
\(=4\sqrt{5}-3\sqrt{7}+2\sqrt{5}+12\sqrt{7}\)
\(=4\sqrt{5}+2\sqrt{5}+12\sqrt{7}-3\sqrt{7}\)
\(=6\sqrt{5}+9\sqrt{7}\)
