The problem in your screenshot asks to approximate $\sqrt{67}$ (the square root of 67) and round the result to the nearest hundredth. Let’s solve it.

1. Compute $\sqrt{67}$:
   Using a calculator,
   $\sqrt{67} \approx 8.185$.

2. Round to the nearest hundredth:
   The third decimal place (5) is greater than or equal to 5, so round the second decimal place (8) up.
   $\sqrt{67} \approx 8.19$.

Final Answer: 8.19

Would you like further clarification or a breakdown of how to use the calculator?

Additional Questions:

1. How is the square root of a number calculated manually?
2. What is the general rule for rounding to the nearest hundredth?
3. Can all square roots be simplified without a calculator?
4. How does squaring a number relate to finding its square root?
5. What are some applications of square roots in real life?

Tip: Memorizing the square roots of smaller numbers (e.g., 1–25) can help estimate larger ones.