Here are the answers and explanations for the questions shown in the image:

1. Which of the following can be represented as a whole number?

   • A. √7
   • B. √8
   • C. √9 (Answer: C)
   • D. √10

   Explanation: √9 = 3, which is a whole number, whereas the square roots of 7, 8, and 10 are not whole numbers.

2. What is the value of √49?

   • A. 6
   • B. 7 (Answer: B)
   • C. 8
   • D. 9

   Explanation: √49 = 7.

3. What is the value of √2,500?

   • A. 5
   • B. 50 (Answer: C)
   • C. 25
   • D. 500

   Explanation: √2,500 = 50.

4. Which of the following numbers is a perfect square?

   • A. 625
   • B. 3,625
   • C. 4,000 (Answer: C)
   • D. 6,289

   Explanation: A perfect square is a number that can be expressed as the square of an integer. The number 4,000 is a perfect square (because √4000 = 20√10).

5. Which of the following numbers is a perfect cube?

   • A. 141
   • B. 500
   • C. 627
   • D. 729 (Answer: D)

   Explanation: A perfect cube is a number that can be expressed as the cube of an integer. 729 = 9^3, so it is a perfect cube.

6. Which of the following is NOT equal to 2?

   • A. 8/4
   • B. √4
   • C. ³√8
   • D. ³√4 (Answer: D)

   Explanation:

   • 8/4 = 2
   • √4 = 2
   • ³√8 = 2 (the cube root of 8 is 2)
   • ³√4 ≠ 2 (the cube root of 4 is not equal to 2).

Would you like more details or have any further questions?

Here are five follow-up questions for practice:

1. What is the square root of 144?
2. What is the cube root of 27?
3. Which of the following is a perfect square: 81, 121, 169?
4. What is the value of ³√27?
5. If √16 = 4, what is √64?

Tip: Remember that square roots of perfect squares are always whole numbers.