2) Вычислите: а) \(\sqrt{32}\cdot(\sqrt{2}-\sqrt{5})-3\cdot\sqrt{10}\).

\(\sqrt{32}=4\sqrt{2}\).

\[\sqrt{32}(\sqrt{2}-\sqrt{5})-3\sqrt{10}=4\sqrt{2}(\sqrt{2}-\sqrt{5})-3\sqrt{10}\]

\[=8-4\sqrt{10}-3\sqrt{10}=8-7\sqrt{10}.\]

Ответ: \(8-7\sqrt{10}\).