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Let's go through the questions one by one.

### Solutions

1. **Which of the following can be represented as a whole number?**
   - \( \sqrt{7} \) is irrational.
   - \( \sqrt{8} \) is also irrational.
   - \( \sqrt{9} = 3 \), which is a whole number.
   - \( \sqrt{10} \) is irrational.
   - **Answer:** C. \( \sqrt{9} \)

2. **What is the value of \( \sqrt{49} \)?**
   - \( \sqrt{49} = 7 \).
   - **Answer:** B. 7

3. **What is the value of \( \sqrt{2,500} \)?**
   - \( \sqrt{2,500} = 50 \) because \( 50^2 = 2,500 \).
   - **Answer:** C. 50

4. **Which of the following numbers is a perfect square?**
   - \( 625 = 25^2 \), so it is a perfect square.
   - \( 3,625 = 60.2^2 \), not a perfect square.
   - \( 4,000 \) is not a perfect square (no integer squared equals 4,000).
   - \( 6,289 = 79^2 \), so it is also a perfect square.
   - **Answer:** A. 625

5. **Which of the following numbers is a perfect cube?**
   - \( 141 \) is not a perfect cube.
   - \( 500 \) is not a perfect cube.
   - \( 627 \) is not a perfect cube.
   - \( 729 = 9^3 \), so it is a perfect cube.
   - **Answer:** D. 729

6. **Which of the following is NOT equal to 2?**
   - \( \frac{8}{4} = 2 \).
   - \( \sqrt{4} = 2 \).
   - \( \sqrt[3]{8} = 2 \).
   - \( \sqrt[4]{4} \approx 1.19 \), which is not equal to 2.
   - **Answer:** D. \( \sqrt[4]{4} \)

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Would you like any further explanations on any of these solutions?

### Further Questions

1. Why is \( \sqrt{7} \) irrational, but \( \sqrt{9} \) is not?
2. How do you determine if a large number is a perfect square?
3. What are the properties of whole numbers versus irrational numbers?
4. What defines a number as a perfect cube?
5. Why does \( \sqrt[4]{4} \) not equal 2?

### Tip
To check if a number is a perfect square or cube, find the integer root (e.g., square root or cube root) and see if squaring or cubing that integer returns the original number.

Math knowledge check with six multiple-choice questions covering square roots, cube roots, and perfect squares and cubes.

Test your understanding of square roots, cube roots, perfect squares, and cubes with this multiple-choice knowledge check. Topics include whole numbers, irrational numbers, and determining if a number is a perfect square or cube. Suitable for students in Grades 7-9.

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