Задание 7. Найдите значение выражения: 1) \(5\sqrt{11}\cdot2\sqrt{2}\cdot\sqrt{22}\); 2) \(7\sqrt{15}\cdot2\sqrt{2}\cdot\sqrt{30}\); 3) \(4\sqrt{17}\cdot5\sqrt{2}\cdot\sqrt{34}\); 4) \(4\sqrt{5}\cdot3\sqrt{3}\cdot\sqrt{15}\); 5) \(10\sqrt{7}\cdot2\sqrt{6}\cdot\sqrt{42}\); 6) \(5\sqrt{13}\cdot2\sqrt{3}\cdot\sqrt{39}\).

1. \(5\sqrt{11}\cdot2\sqrt{2}\cdot\sqrt{22}=10\sqrt{11\cdot2\cdot22}=10\sqrt{484}=220\).
2. \(7\sqrt{15}\cdot2\sqrt{2}\cdot\sqrt{30}=14\sqrt{15\cdot2\cdot30}=14\sqrt{900}=420\).
3. \(4\sqrt{17}\cdot5\sqrt{2}\cdot\sqrt{34}=20\sqrt{17\cdot2\cdot34}=20\sqrt{1156}=680\).
4. \(4\sqrt{5}\cdot3\sqrt{3}\cdot\sqrt{15}=12\sqrt{5\cdot3\cdot15}=12\sqrt{225}=180\).
5. \(10\sqrt{7}\cdot2\sqrt{6}\cdot\sqrt{42}=20\sqrt{7\cdot6\cdot42}=20\sqrt{1764}=840\).
6. \(5\sqrt{13}\cdot2\sqrt{3}\cdot\sqrt{39}=10\sqrt{13\cdot3\cdot39}=10\sqrt{1521}=390\).

Ответ: 1) 220; 2) 420; 3) 680; 4) 180; 5) 840; 6) 390.