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Square Roots and Cube Roots Quiz – Grade 8 (10 Questions)

Last updated: October 22, 2026 · Written by the Math Made Easy math teachers

Grade 8 Math Quizzes – Mathbot, the Math Made Easy robot coach, with free printable quizzes for Grade 8
Looking for a square roots and cube roots quiz? Then this Grade 8 quiz on Solving With Square and Cube Roots asks 10 multiple-choice questions with instant feedback. Ten short questions on square roots, cube roots and the equations x² = p and x³ = p. Choose one answer for each. The explanations name the usual slips.

Standards: 8.EE.A.2 · Level: Grade 8

Mathbot, the Math Made Easy robot coach

What this Solving With Square and Cube Roots quiz checks

  • x² = p (p positive) has two solutions: √p and −√p.
  • x³ = p has exactly one solution, ∛p.
  • A cube with volume V has edge ∛V; a square with area A has side √A.
  • Roots of non-perfect squares and cubes are irrational, like √2.
  • x² = negative number has no real solution; x³ = negative number does.

The 10 questions of the quiz

  1. List every number that makes x² = 100 true.
  2. What is ∛(−27)?
  3. Which number is a perfect cube?
  4. √40 lies between which integers?
  5. Solve x³ = 1,000.
  6. Which equation has no real solution?
  7. What is √(25/64)?
  8. Pick the closest decimal to ∛20.
  9. What is the side of the square?
  10. What is the edge of the cube?

After the quiz

Missed a question? Reread the Solving With Square and Cube Roots lesson, then take the quiz again. Next, solve the Grade 8 worksheet on Solving With Square and Cube Roots, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.

Square Roots And Cube Roots lessonSquare Roots And Cube Roots worksheetSquare Roots And Cube Roots test

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