6) \(2\sqrt{3}+2\sqrt{75}-2\sqrt{48}\)

Упрощаем корни: \(\sqrt{75}=5\sqrt{3}\), \(\sqrt{48}=4\sqrt{3}\).

\(2\sqrt{3}+2\cdot5\sqrt{3}-2\cdot4\sqrt{3}=2\sqrt{3}+10\sqrt{3}-8\sqrt{3}=4\sqrt{3}\).

Ответ: \(4\sqrt{3}\)