To solve this problem, we need to calculate the square roots of the numbers provided in the options and then determine which result is closest to 8.

Let's evaluate:

1. $\sqrt{65} \approx 8.06$
2. $\sqrt{66} \approx 8.12$
3. $\sqrt{61} \approx 7.81$
4. $\sqrt{62} \approx 7.87$

Now, comparing these values to 8:

• $\sqrt{65}$ is approximately 8.06, which is very close to 8.
• $\sqrt{66}$ is approximately 8.12, slightly farther from 8.
• $\sqrt{61}$ is approximately 7.81, which is farther from 8.
• $\sqrt{62}$ is approximately 7.87, closer but still not as close as $\sqrt{65}$.

Thus, the number closest to 8 is Option A: $\sqrt{65}$.

Would you like more details or have any questions about these calculations?

Here are 5 follow-up questions you might explore:

1. How can you estimate square roots without a calculator?
2. What is the difference between exact and approximate square roots?
3. How does understanding square roots help in solving quadratic equations?
4. Can you find the square root of non-perfect squares more accurately?
5. What are some practical applications of square roots in science and engineering?

Tip: Knowing that 8 is the square root of 64 helps to quickly compare how close these numbers are to 64.