Lesson 12-2: Understand and Use Square Roots — Practice Questions

1. 1. What is the value of $\sqrt{169}$? ___

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

   • A. 48
   • B. 80
   • C. 100
   • D. 120

3. 3. A square garden has an area of 49 square meters. What is the length of one side of the garden in meters? ___

4. 4. If $6^2 = 36$, what is the value of $\sqrt{36}$?

   • A. 6
   • B. 18
   • C. 36
   • D. 1296

5. 5. A square tile has an area of 13 square inches. What is the exact length of one of its sides in inches? ___

6. 6. Estimate the value of $\sqrt{23}$ to the nearest whole number. The best estimate is ___.

7. 7. The value of $\sqrt{110}$ lies between which two consecutive integers?

   • A. 9 and 10
   • B. 10 and 11
   • C. 11 and 12
   • D. 100 and 110

8. 8. What is the best whole number estimate for $\sqrt{150}$? The answer is ___.

9. 9. Which of the following square roots has a best whole number estimate of 8?

   • A. $\sqrt{55}$
   • B. $\sqrt{63}$
   • C. $\sqrt{73}$
   • D. $\sqrt{80}$

10. 10. The number 30 is between two perfect squares. The square root of the perfect square that is closer to 30 is ___.