Ответ:

\(\sqrt{50}=5\sqrt{2}\), \(\sqrt{18}=3\sqrt{2}\), \(\sqrt{8}=2\sqrt{2}\).

\(0.6\cdot5\sqrt{2}-\frac{2}{3}\cdot3\sqrt{2}+1.5\cdot2\sqrt{2}=3\sqrt{2}-2\sqrt{2}+3\sqrt{2}=4\sqrt{2}\).

Ответ: \(4\sqrt{2}\).