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Grade 8 · Expressions & Equations · 8.EE.A.2

Square and Cube Roots Worksheets

Free, printable, and ready to teach: a practice worksheet, homework, an exit ticket, and an answer key with step-by-step solutions — plus lesson slides you can edit. No sign-up needed.

First page of the square and cube roots practice worksheet

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PDFs print on US Letter paper. Free for classroom and home use.

Watch: Simplifying Square Roots — Step by Step Guide

Key idea

x² = 25 → x = ±5 (two solutions). √25 → 5 (one value). ∛(−8) = −2.

Sample problems

List the perfect squares to 144 and the perfect cubes to 125.
Solve x² = 81 and x² = 1.
Evaluate √81, √144 and ∛64.
Explain, in your own words, why x² = 36 has two solutions but √36 has one.

Common mistakes to watch for

Gave only x = 7. This is the commonest error in the topic and it costs a root in every equation from here to quadratics.
Answered ±7, carrying the equation's two solutions onto the symbol. Read items 1 and 2 together: getting both right is the skill, and getting the same answer to both means the distinction has not landed.
Answered 9 and about 41 by dividing by 3. Check by cubing: 9³ = 729, nowhere near 27.

The answer key explains each one, so you can tell what a wrong answer means.

How to use this set

Teach with the slides (about 15 minutes), or watch the video together.
Practice with the worksheet. Questions climb from fluency to application to reasoning.
Check understanding with the exit ticket, and send the homework home.
Mark with the answer key — each answer shows the steps and the most likely mistake.

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