MyMathKidK-8 Curriculum

Grade 8 Radicals Worksheets

Master radicals step by step, from basic concepts to advanced problem solving

Common Core: 8.EE

Watch & Learn

Learning Path

Start with Lesson 1 and work your way through!

1

Square Roots

Easy

Find and estimate square roots

Find perfect squaresEstimate non-perfect
2

Cube Roots

Easy

Find cube roots

Find perfect cubesEstimate cube roots
3

Pythagorean Theorem

Easy

Find missing sides of right triangles

Apply a² + b² = c²Find missing sides
4

Unit Review

Easy

Review all radical concepts

Review all conceptsPrepare for assessment

How to solve Grade 8 radicals problems

Real problems from these worksheets, solved one step at a time — the same explanations your child sees when practicing online.

  1. Example 1

    A square has an area of 81 square centimeters. How long is each side (in centimeters)?

    1. A square's area is side × side, so the side is the number that times itself makes 81: √81.
    2. 9 × 9 = 81, so √81 = 9.
    3. So each side is 9 centimeters.

    Answer: 9

  2. Example 2

    A right triangle has a hypotenuse of 25 in and one leg of 24 in. How long is the other leg (in inches)?

    1. In a right triangle, a² + b² = c², where c is the hypotenuse — the longest side, across from the right angle.
    2. b² = 25² − 24² = 625 − 576 = 49.
    3. b = √49 = 7, because 7 × 7 = 49.
    4. So the other leg is 7 inches.

    Answer: 7

  3. Example 3

    What is ∛(−27)?

    1. ∛(−27) is the number that, used 3 times as a factor, makes −27.
    2. 3 × 3 × 3 = 27, and three negatives multiply to a negative: (−3) × (−3) × (−3) = −27.
    3. So ∛(−27) = −3.

    Answer: −3

Frequently Asked Questions

Are these Grade 8 Radicals worksheets free?
All printable Radicals worksheets on MyMathKid are free to download and print. Answer keys are a premium feature available with a subscription.
How many Radicals worksheets are available for Grade 8?
There are 4 progressive Radicals lessons with worksheets for Grade 8, covering skills from foundational concepts to advanced problem solving.
Are these Radicals worksheets aligned to Common Core?
Yes — Grade 8 Radicals aligns with Common Core 8.EE (Expressions & Equations).
What will my child practice with these Radicals worksheets?
Your child will practice: Square Roots, Cube Roots, Pythagorean Theorem, Unit Review.