1. The problem asks if $\sqrt{16+25} = 4+5$ is true. 2. First, calculate inside the square root: $16 + 25 = 41$. 3. So, the left side is $\sqrt{41}$. 4. The right side is $4 + 5 = 9$. 5. Now compare $\sqrt{41}$ and $9$. 6. Since $\sqrt{41} \approx 6.4$, which is not equal to $9$, the equation is false. 7. Important rule: $\sqrt{a + b} \neq \sqrt{a} + \sqrt{b}$ in general. 8. Therefore, $\sqrt{16+25} \neq 4 + 5$. Final answer: $\sqrt{16+25} \neq 4+5$.