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Worksheets›Grade 8›Exponents & roots›Square roots & cube roots

Square Roots & Cube Roots Worksheets

Free printable worksheets with answer keys. Pick a level, preview the questions, then open the sheet to swap or delete any single question.

Grade 8CCSS 8.EE.A.2Answer key includedPDF · Print
Open in generatorStart with an easy sheet

Easy: Square roots of perfect squares to 144

  1. 1.√81 =
  2. 2.√225 =
  3. 3.√9 =
  4. 4.√49 =
  5. 5.√64 =
  6. 6.√36 =
Preview shows 6 of 12 questions. Every sheet is new; open it to change any question.

Worksheet variations

A square root undoes squaring and a cube root undoes cubing. The equation x² = p has two solutions, ±√p.

Easy√144 =Square roots of perfect squares to 144Medium√925 =Cube roots, larger squares and fractionsHardx3 = −27Solve x² = p and x³ = p

How to solve it: a worked example

Evaluate, or solve for x. Round to the nearest hundredth when needed.

  1. Start√81 =
  2. Then9 · 9 = 81
  3. Answer9

Common mistakes to watch for

  • Halving the number instead of taking its square root: √36 = 18.
  • Giving only the positive solution to x² = 49.
  • Thinking a cube root of a negative number is undefined: ∛(−8) = −2.

Tip: tick “Step-by-step answer key” in the generator to print each step for marking.

Related worksheets

Laws of exponentsScientific notationMulti-step equationsEquations with variables on both sidesSystems of equations

FAQ

Is every worksheet different?

Yes. Numbers are generated each time, and the answer key is calculated for that sheet. Swap any single question and its answer updates too.

Can I mix square roots & cube roots with other skills?

Yes. In the generator, add more skills; each gets its own section on the sheet with its own instructions.

Is it free to print?

Yes. Generating and printing from the browser is free with no sign-up. PDF downloads need a free account.