\(\sqrt{\frac{1}{2}}+\sqrt{4,5}-\sqrt{12,5}-0,5\sqrt{200}+\sqrt{242}+6\sqrt{1\frac{1}{8}}-\sqrt{24,5}\)
\(=\frac{\sqrt{2}}{2}+\frac{3\sqrt{2}}{2}-\frac{5\sqrt{2}}{2}-5\sqrt{2}+11\sqrt{2}+\frac{9\sqrt{2}}{2}-\frac{7\sqrt{2}}{2}\)
\(=\frac{\sqrt{2}}{2}+6\sqrt{2}\)
\(=\frac{13\sqrt{2}}{2}\)