To solve the problem of finding the whole number closest to [tex]\(\sqrt{115}\)[/tex], we first need to determine the numerical value of [tex]\(\sqrt{115}\)[/tex].
The value of [tex]\(\sqrt{115}\)[/tex] is approximately [tex]\(10.723805294763608\)[/tex].
Now, we need to identify the whole number that is nearest to this value. To do so, we look at the decimal part of [tex]\(10.723805294763608\)[/tex], which is [tex]\(0.723805294763608\)[/tex]. Since it is greater than [tex]\(0.5\)[/tex], we round up.
Rounding [tex]\(10.723805294763608\)[/tex] to the nearest whole number gives us [tex]\(11\)[/tex].
Therefore, the whole number closest to [tex]\(\sqrt{115}\)[/tex] is [tex]\(11\)[/tex].
[tex]\[
\boxed{11}
\][/tex]
