To find the value of \(-\sqrt{5}\) and round it to the nearest hundredth, we can first calculate \(\sqrt{5}\).
The square root of 5 is approximately \(2.236\). Therefore,
\[ -\sqrt{5} \approx -2.236 \]
Now, rounding \(-2.236\) to the nearest hundredth gives us \(-2.24\).
So, the value of \(-\sqrt{5}\) rounded to the nearest hundredth is:
\(-2.24\)