1. We are asked to simplify the expression \(\sqrt{75} + \sqrt{12}\).\n2. Start by simplifying each square root separately.\n\n\(\sqrt{75} = \sqrt{25 \times 3} = \sqrt{25} \times \sqrt{3} = 5\sqrt{3}\).\n\(\sqrt{12} = \sqrt{4 \times 3} = \sqrt{4} \times \sqrt{3} = 2\sqrt{3}\).\n\n3. Now substitute back: \(5\sqrt{3} + 2\sqrt{3} = (5 + 2)\sqrt{3} = 7\sqrt{3}\).\n\n4. The simplified form of the expression is \(7\sqrt{3}\).