\(A=\frac{1}{2}\sqrt{48}-\frac{3\sqrt{51}}{\sqrt{17}}+3\sqrt{1\frac{1}{3}}\)
\(=\sqrt{\frac{1}{4}.48}-3\sqrt{3}+3\sqrt{\frac{4}{3}}\)
\(=\sqrt{12}-3\sqrt{3}+3\sqrt{\frac{4}{3}}\)
\(=\sqrt{3.4}-3\sqrt{3}+3\sqrt{3.\frac{4}{9}}\)
\(=2\sqrt{3}-3\sqrt{3}+2\sqrt{3}=\sqrt{3}\)
\(A=\frac{1}{2}\sqrt{16.3}-3\frac{\sqrt{17.3}}{\sqrt{17}}+3\sqrt{\frac{4}{3}}\)
\(=2\sqrt{3}-3\sqrt{3}+3.2\frac{1}{\sqrt{3}}\)
\(=2\sqrt{3}-3\sqrt{3}+2\sqrt{3}=\sqrt{3}\)