To approximate the square root of 5 to the nearest hundredth, we can find its value using a calculator or estimating it using an approximation method.
The square root of 5 is approximately 2.236. Rounding this to the nearest hundredth, we get:
\[ \sqrt{5} \approx 2.24 \]
So, the approximate value of the square root of 5 to the nearest hundredth is 2.24.