1: \(=\sqrt{6}+\sqrt{6}+1=2\sqrt{6}+1\)
2: \(=6+3=9\)
3: \(=\sqrt{3}+1-\sqrt{3}=1\)
4: \(=-\sqrt{2}-\sqrt{2}=-2\sqrt{2}\)
5: \(=\sqrt{2}+\sqrt{2}=2\sqrt{2}\)
6: \(=\sqrt{5}-\dfrac{\sqrt{5}}{2}=\dfrac{\sqrt{5}}{2}\)
7: \(=\sqrt{3}-2\sqrt{3}=-\sqrt{3}\)
8: \(=3\sqrt{2}-2\sqrt{2}=\sqrt{2}\)
9: \(=-3-3\sqrt{3}-\sqrt{3}=-3-4\sqrt{3}\)
10: \(=\dfrac{3\sqrt{2}+2-3-\sqrt{2}-\left(3-\sqrt{2}\right)\left(\sqrt{2}+1\right)}{3\sqrt{2}+2+3+\sqrt{2}}\)
\(=\dfrac{2\sqrt{2}-1-3\sqrt{2}-3+2+\sqrt{2}}{5+4\sqrt{2}}=\dfrac{-2}{5+4\sqrt{2}}\)