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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.

Which of the following numbers is closest to 8? A) √65, B) √66, C) √61, D) √62

Learn how to determine which of the numbers √65, √66, √61, or √62 is closest to 8. This math problem involves square roots, approximation, and comparing numerical values, making it ideal for students in Grades 8-10.

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