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Lesson 13: Calculating and Comparing Square Roots — Practice Questions

  1. 1. If a square has an area of 81 square inches, what is the length of one of its sides in inches? ___

  2. 2. Which statement correctly explains how to find the value of $\sqrt{100}$?

    • A. Divide 100 by 2, which is 50.
    • B. Find the number that, when multiplied by itself, equals 100.
    • C. Find the number that, when added to itself, equals 100.
    • D. Divide 100 by 4, which is 25.
  3. 3. What is the best integer estimate for $\sqrt{65}$? ___

  4. 4. A student incorrectly states that $\sqrt{36} = 18$. What is the most likely error in their thinking?

    • A. They multiplied 36 by 2.
    • B. They squared the number 36.
    • C. They divided 36 by 2.
    • D. They subtracted 18 from 36.
  5. 5. Solve for the value of $k$ in the equation $k = \sqrt{49}$. $k$ = ___

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

    • A. 150
    • B. 169
    • C. 180
    • D. 200
  7. 7. A square is formed using a number of tiles. If the number of tiles is the result of squaring 14, how many tiles are there in total? ___

  8. 8. A square-shaped patio has an area of 144 square feet. What is the length of one of its sides in feet? ___

  9. 9. Which of the following numbers is NOT a perfect square?

    • A. 49
    • B. 64
    • C. 90
    • D. 100
  10. 10. The number 225 is a perfect square. What integer, when multiplied by itself, equals 225? ___