1)
[tex]\frac{20\sqrt{0,1}-\sqrt{90}+\sqrt{360}}{5\sqrt{5}} = \frac{2\sqrt{10^{2}\cdot0,1} -\sqrt{9\cdot10}+\sqrt{36\cdot10}}{5\sqrt{5}} = \frac{2\sqrt{10}-3\sqrt{10}+6\sqrt{10}}{5\sqrt{5}} =\\\\=\frac{5\sqrt{10}}{5\sqrt{5}} = \sqrt{\frac{10}{5}} = \sqrt{2}[/tex]
2)
[tex]\frac{11\sqrt{6}+\sqrt{96}-\sqrt{150}}{3\sqrt{2}} =\frac{11\sqrt{6}+\sqrt{16\cdot6}-\sqrt{25\cdot6}}{3\sqrt{2}} = \frac{11\sqrt{6}+4\sqrt{6}-5\sqrt{6}}{3\sqrt{2}} = \frac{10\sqrt{6}}{3\sqrt{2}} = \frac{10}{3}\sqrt{\frac{6}{2}} =\frac{10\sqrt{2}}{3}[/tex]
