The square root of 19, when rounded to the nearest hundredth, is approximately 4.36. Therefore, the correct answer is:

c) 4.36

Do you have any further questions or would you like more details?

Here are 5 related questions to explore further:

1. How do you estimate square roots manually?
2. What is the square root of 20 to the nearest hundredth?
3. Can you find cube roots the same way?
4. How do calculators compute square roots so quickly?
5. What is the square of 4.36?

Tip: When estimating square roots, remember that they fall between perfect squares for easy approximation.