1. Let's consider the problem: Simplify the expression $$\sqrt{50} + \sqrt{18} - \sqrt{8}$$. 2. First, recall the rule for simplifying square roots: $$\sqrt{a \times b} = \sqrt{a} \times \sqrt{b}$$. We look for perfect squares inside the radicals. 3. Simplify each term: - $$\sqrt{50} = \sqrt{25 \times 2} = 5\sqrt{2}$$ - $$\sqrt{18} = \sqrt{9 \times 2} = 3\sqrt{2}$$ - $$\sqrt{8} = \sqrt{4 \times 2} = 2\sqrt{2}$$ 4. Substitute back: $$5\sqrt{2} + 3\sqrt{2} - 2\sqrt{2}$$ 5. Since all terms have $$\sqrt{2}$$, combine the coefficients: $$ (5 + 3 - 2)\sqrt{2} = 6\sqrt{2}$$ 6. Final answer: $$6\sqrt{2}$$ This problem involves simplifying and combining like radical terms. You can time yourself to solve similar problems to improve speed and accuracy.