1. The problem is to simplify or verify the expression $5\sqrt{6}$ and compare it to the textbook answer $\frac{5\sqrt{6}}{2}$. 2. The expression $5\sqrt{6}$ means 5 times the square root of 6. 3. The textbook answer divides this by 2, giving $\frac{5\sqrt{6}}{2}$. 4. To check if these are equivalent, multiply $\frac{5\sqrt{6}}{2}$ by 2 to get $5\sqrt{6}$. 5. Since $5\sqrt{6}$ is not equal to $\frac{5\sqrt{6}}{2}$, the textbook answer is half of your expression. 6. Therefore, $5\sqrt{6}$ and $\frac{5\sqrt{6}}{2}$ are different values unless multiplied or divided accordingly.