Вариант 8. 6) \(12\sqrt{2}+6\sqrt{50}-3\sqrt{32}\)

Упрощаем корни: \(\sqrt{50}=5\sqrt{2}\), \(\sqrt{32}=4\sqrt{2}\).

\(12\sqrt{2}+6\cdot5\sqrt{2}-3\cdot4\sqrt{2}=(12+30-12)\sqrt{2}=30\sqrt{2}\).

Ответ: \(30\sqrt{2}\).