1. **State the problem:** Simplify the expression $2\sqrt{7} + 7\sqrt{2}$. 2. **Analyze the terms:** The terms $2\sqrt{7}$ and $7\sqrt{2}$ are unlike radicals because the numbers inside the square roots are different (7 and 2). 3. **Simplify if possible:** Since the radicals are different, we cannot combine them by addition. 4. **Final answer:** The expression is already in its simplest form: $$2\sqrt{7} + 7\sqrt{2}$$