Square Root and Cube Root: Test 2

10 questions · 15 minutes · scoring and calculator rules shown before you begin

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Square Root and Cube Root Test 2: questions and answers

Take the test first if you want an honest score. The answers and solutions below are folded away until you open them.

  1. 1. Find √81.
    1. 9
    2. 12
    3. 10
    4. 11

    Reference: q-800166fd-10 · Report this question

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    Answer: A. 9

    The positive square root of 81 is 9.
  2. 2. Find the cube root of 64.
    1. 5
    2. 4
    3. 1
    4. 2

    Reference: q-7c408709-26 · Report this question

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    Answer: B. 4

    4³ = 64, so its cube root is 4.
  3. 3. Find √(9 × 16).
    1. 15
    2. 12
    3. 14
    4. 9

    Reference: q-f6114290-16 · Report this question

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    Answer: B. 12

    √(a²b²) = ab = 3×4 = 12.
  4. 4. Which number lies between 36 and 49?
    1. 35
    2. 49
    3. 37
    4. 38

    Reference: q-bb9f5be4-37 · Report this question

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    Answer: C. 37

    The next perfect square after 36 is 49; 37 lies between them.
  5. 5. Find (5³ + 5³) / 5.
    1. 44
    2. 54
    3. 56
    4. 50

    Reference: q-9e0fb5e-20 · Report this question

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    Answer: D. 50

    (5³ + 5³)/5 = 2n² = 50.
  6. 6. Find √4.
    1. 2
    2. 5
    3. 1
    4. 3

    Reference: q-6c431f38-9 · Report this question

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    Answer: A. 2

    The positive square root of 4 is 2.
  7. 7. Find the cube root of 512.
    1. 8
    2. 5
    3. 11
    4. 7

    Reference: q-8a36e059-27 · Report this question

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    Answer: A. 8

    8³ = 512, so its cube root is 8.
  8. 8. Find √(49 × 81).
    1. 65
    2. 62
    3. 66
    4. 63

    Reference: q-c91560cc-17 · Report this question

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    Answer: D. 63

    √(a²b²) = ab = 7×9 = 63.
  9. 9. Which number lies between 121 and 144?
    1. 120
    2. 123
    3. 122
    4. 144

    Reference: q-e061e841-39 · Report this question

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    Answer: C. 122

    The next perfect square after 121 is 144; 122 lies between them.
  10. 10. Find (2³ + 2³) / 2. (Practice set 2, question 10)
    1. 8
    2. 2
    3. 14
    4. 10

    Reference: q-146fffa4-50 · Report this question

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    Answer: A. 8

    (2³ + 2³)/2 = 2n² = 8.

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