[tex]1) \\ a = 6 \sqrt{5} - 5 \sqrt{3} \\ b = 5 \sqrt{3} + 6 \sqrt{5} \\ mg = \sqrt{(6 \sqrt{5} - 5 \sqrt{3})(5 \sqrt{3} + 6 \sqrt{5} )} \\ mg = \sqrt{36 \times 5 - 25 \times 3} = \sqrt{105} [/tex]
[tex]2) \\ (3 \sqrt{2 } - 5 \sqrt{2} + 3 \sqrt{2} ) \times { \sqrt{2} }^{ - 3} \\ \sqrt{2} \times { \sqrt{2} }^{ \ - 3} = { \sqrt{2} }^{ - 2} = {2}^{ - 1} = \frac{1}{2} [/tex]
