Ответ:

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

Ответ: 3) 680; 4) 180; 5) 840; 6) 390.