what whole number is closest to the value of $sqrt{115}$? type the number in the box.

Explanation:

Step1: Find perfect - square numbers around 115

We know that $10^2=100$ and $11^2 = 121$.

Step2: Calculate the differences

The difference between 115 and 100 is $115 - 100=15$. The difference between 121 and 115 is $121 - 115 = 6$.

Step3: Determine the closest whole number

Since 6 < 15, 115 is closer to 121. So the whole number closest to $\sqrt{115}$ is 11.

Answer:

11