\( \begin{array}{ll}\text { 1. } & -3 \sqrt{2}+\sqrt{2} \\ \text { 2. } & 4 \sqrt{2}-5 \sqrt{3}+\sqrt{2}+2 \sqrt{3} \\ \text { 3. } & \sqrt{6}+\sqrt{3}\end{array} \)

To simplify these expressions, let's break them down step by step: 1. For the first expression, combine like terms: \(-3 \sqrt{2} + \sqrt{2} = -2 \sqrt{2}\). 2. In the second expression, combine the like terms for \(\sqrt{2}\) and \(\sqrt{3}\): \(4\sqrt{2} + \sqrt{2} = 5\sqrt{2}\) and \(-5\sqrt{3} + 2\sqrt{3} = -3\sqrt{3}\), so the result is \(5\sqrt{2} - 3\sqrt{3}\). 3. The third expression contains no like terms, so it remains as it is: \(\sqrt{6} + \sqrt{3}\). So the simplified forms are: 1. \(-2\sqrt{2}\) 2. \(5\sqrt{2} - 3\sqrt{3}\) 3. \(\sqrt{6} + \sqrt{3}\)