To find the value of \(-\sqrt{5}\) rounded to the nearest hundredth, we first calculate \(\sqrt{5}\).
\(\sqrt{5} \approx 2.236\).
Now, taking the negative of this value:
\(-\sqrt{5} \approx -2.236\).
When rounding to the nearest hundredth, we look at the third decimal place (6 in this case). Since 6 is 5 or greater, we round up.
Thus, \(-2.236\) rounds to \(-2.24\).
The correct response is:
-2.24