Section 7.4: Approximating Square Roots — Practice Questions

1. 1. Use a calculator to approximate $\sqrt{21}$ and round to two decimal places. The answer is ___.

2. 2. Use a calculator to approximate $\sqrt{47}$ and round to two decimal places. The answer is ___.

3. 3. Estimate $\sqrt{200}$ between two consecutive whole numbers.

   • A. 13 and 14
   • B. 14 and 15
   • C. 15 and 16
   • D. 12 and 13

4. 4. Use a calculator to approximate $\sqrt{53}$ and round to two decimal places. The answer is ___.

5. 5. Estimate $\sqrt{172}$ between two consecutive whole numbers.

   • A. 12 and 13
   • B. 13 and 14
   • C. 14 and 15
   • D. 11 and 12

6. 6. Estimate $\sqrt{70}$ between two consecutive whole numbers.

   • A. 7 and 8
   • B. 8 and 9
   • C. 9 and 10
   • D. 6 and 7

7. 7. Estimate $\sqrt{55}$ between two consecutive whole numbers.

   • A. 6 and 7
   • B. 7 and 8
   • C. 8 and 9
   • D. 5 and 6

8. 8. Use a calculator to approximate $\sqrt{19}$ and round to two decimal places. The answer is ___.

9. 9. Is the number $1.875$ rational or irrational?

   • A. Rational
   • B. Irrational

10. 10. Is the number $0.223$ rational or irrational?

    • A. Rational
    • B. Irrational