1. Problem: Simplify the radical expression $\sqrt{5}(2 + \sqrt{5})$. 2. Use the distributive property: $a(b + c) = ab + ac$. 3. Multiply: $\sqrt{5} \times 2 = 2\sqrt{5}$ and $\sqrt{5} \times \sqrt{5} = \sqrt{5 \times 5} = \sqrt{25} = 5$. 4. Combine results: $2\sqrt{5} + 5$. 5. Final simplified form: $5 + 2\sqrt{5}$.