2. \(5\sqrt{12}-2\sqrt{48}+2\sqrt{27}\)

Упрощаем каждый корень: \(\sqrt{12}=2\sqrt{3}\), \(\sqrt{48}=4\sqrt{3}\), \(\sqrt{27}=3\sqrt{3}\).

\(5\sqrt{12}-2\sqrt{48}+2\sqrt{27}=10\sqrt{3}-8\sqrt{3}+6\sqrt{3}=8\sqrt{3}.\)

Ответ: \(8\sqrt{3}\).