Math · Exponents

Square Roots and Cube Roots

Find square and cube roots, estimate roots between whole numbers and solve x² = p and x³ = p.

  • 🎓 Grade 8
  • 🧮 Math
  • 📐 8.EE.A.2
  • ❓ 23 questions
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  1. ∛8 = ?

    • A 3
    • B 2
    • C 1
    • D 6

    2 × 2 × 2 = 8

  2. Which is closest to √30?

    • A 5.5
    • B 6.2
    • C 5.1
    • D 15
  3. √20 is between which two whole numbers?

    • A 3 and 4
    • B 4 and 5
    • C 5 and 6
    • D 10 and 11

    4² = 16 and 5² = 25.

  4. Which values of x solve x² = 49?

    • A x = 49 or x = −49
    • B x = 24.5
    • C x = 7 or x = −7
    • D x = 7 only
  5. √169 = ?

    • A 13
    • B 14
    • C 12
    • D 84.5

    13 × 13 = 169

  6. √90 is between which two whole numbers?

    • A 45 and 46
    • B 10 and 11
    • C 9 and 10
    • D 8 and 9

    9² = 81 and 10² = 100.

  7. √25 = ?

    • A 4
    • B 5
    • C 12.5
    • D 6

    5 × 5 = 25

  8. √50 is between which two whole numbers?

    • A 8 and 9
    • B 7 and 8
    • C 25 and 26
    • D 6 and 7

    7² = 49 and 8² = 64.

  9. √81 = ?

    • A 8
    • B 40.5
    • C 9
    • D 10

    9 × 9 = 81

  10. √144 = ?

    • A 72
    • B 13
    • C 11
    • D 12

    12 × 12 = 144

  11. Solve x³ = 64.

    • A x = 8
    • B x = 4
    • C x = 21.3
    • D x = 4 or x = −4

    4³ = 64; (−4)³ = −64.

  12. ∛1000 = ?

    • A 9
    • B 11
    • C 10
    • D 30

    10 × 10 × 10 = 1000

  13. ∛27 = ?

    • A 2
    • B 3
    • C 9
    • D 4

    3 × 3 × 3 = 27

  14. ∛125 = ?

    • A 6
    • B 15
    • C 5
    • D 4

    5 × 5 × 5 = 125

  15. A square has area 121 cm². What is its side length?

    • A 12 cm
    • B 60.5 cm
    • C 11 cm
    • D 30.25 cm
  16. √1 = ?

    • A 1
    • B 0.5
    • C 0
    • D 2

    1 × 1 = 1

  17. √36 + √64 = ?

    • A 14
    • B 10
    • C 50
    • D 100

    6 + 8 = 14

  18. √400 = ?

    • A 200
    • B 19
    • C 20
    • D 21

    20 × 20 = 400

  19. √3 is between which two whole numbers?

    • A 3 and 4
    • B 0 and 1
    • C 2 and 3
    • D 1 and 2

    1² = 1 and 2² = 4.

  20. √225 = ?

    • A 112.5
    • B 16
    • C 14
    • D 15

    15 × 15 = 225

  21. A cube has volume 216 in³. What is its edge length?

    • A 72 in
    • B 14.7 in
    • C 36 in
    • D 6 in
  22. √64 = ?

    • A 32
    • B 9
    • C 8
    • D 7

    8 × 8 = 64

  23. ∛64 = ?

    • A 8
    • B 4
    • C 3
    • D 12

    4 × 4 × 4 = 64

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