50. $$-3\sqrt{3}(\sqrt{2}-5\sqrt{6})-\sqrt{2}(3\sqrt{12}-1)$$

50. Решим пример:

• $$-3\sqrt{3}(\sqrt{2}-5\sqrt{6})-\sqrt{2}(3\sqrt{12}-1) = -3\sqrt{6} + 15\sqrt{18} - 3\sqrt{24} + \sqrt{2} = -3\sqrt{6} + 15 \cdot 3\sqrt{2} - 3 \cdot 2\sqrt{6} + \sqrt{2} = -3\sqrt{6} + 45\sqrt{2} - 6\sqrt{6} + \sqrt{2} = -9\sqrt{6} + 46\sqrt{2}$$

Ответ:$$-9\sqrt{6} + 46\sqrt{2}$$