Задание 6. Выполните деление (40√32 − 10√50) : (5√2).

Упростим корни:

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

\((40\sqrt{32}-10\sqrt{50}):(5\sqrt{2})\)

\(=(40\cdot4\sqrt{2}-10\cdot5\sqrt{2}):(5\sqrt{2})\)

\(=(160\sqrt{2}-50\sqrt{2}):(5\sqrt{2})\)

\(=110\sqrt{2}:5\sqrt{2}=22\).

Ответ: 22.