10: \(=3\sqrt{3}\cdot\dfrac{\left(\sqrt{3}-1\right)}{3\sqrt{15}}\)
\(=\dfrac{\sqrt{3}-1}{\sqrt{5}}=\dfrac{\sqrt{15}-\sqrt{5}}{5}\)
2: \(=\left(2\sqrt{2}\right)^2-\left(3-\sqrt{3}\right)^2\)
\(=8-\left(12-6\sqrt{3}\right)=-4+6\sqrt{3}\)
\(2,=2\sqrt{6}\left(\sqrt{6}-3\sqrt{3}+5\sqrt{2}-\sqrt{2}\right)\\ =2\sqrt{6}\left(\sqrt{6}-3\sqrt{3}+4\sqrt{2}\right)\\ =2.6-2\sqrt{6}.3\sqrt{3}+2\sqrt{6}.4\sqrt{2}\\ =12-18\sqrt{2}+16\sqrt{3}\\ 10,=\left[\left(3\sqrt{3}\right)\left(\sqrt{3}-1\right)\right]:3\sqrt{15}\\ =\dfrac{\sqrt{5}}{5}.\left(\dfrac{-\sqrt{15}+3\sqrt{5}}{45}\right)\\ =\dfrac{3-\sqrt{3}}{45}\)
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