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Grade 8 Square & Cube Roots Worksheet with Answers

Grade 8 (US) · Year 9 (UK) · Class 8 (India) · Math

Unit 1: Real Numbers & ExponentsSquare & Cube RootsCCSS 8.EE.A.2

Square and cube roots of perfect squares and cubes, solving x² = p and x³ = p, and estimating roots. This free middle school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.

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Square & Cube Roots

Grade 8 · Math

Score___ / 12

Name

Class

Date

Learning goal: Square & Cube Roots · CCSS 8.EE.A.2

Directions: Solve each problem. Show your work, then write your answer in the box.

Example

√225 = ?

Answer: 15

RememberNumber sets, squares and roots

1
√1 = ?
Answer
2
∛8 = ?
Answer
3
√90 lies between which two consecutive whole numbers?
Answer
4
√36 = ?
Answer
5
√74 lies between which two consecutive whole numbers?
Answer
6
√103 lies between which two consecutive whole numbers?
Answer
7
√16 = ?
Answer
8
∛27 = ?
Answer
9
Solve: x² = 49
Answer
10
∛1 = ?
Answer
11
Solve: x² = 9
Answer
12
√38 lies between which two consecutive whole numbers?
Answer

★ Challenge corner for fast finishers

How many ways can a team of 2 be chosen from 10 students?

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Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/8/square_cube_roots

Answer key (click to show)

1.1
2.2
3.9 and 10
4.6
5.8 and 9
6.10 and 11
7.4
8.3
9.x = 7 or x = -7
10.1
11.x = 3 or x = -3
12.6 and 7
★45 (challenge corner)

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Guides for teaching Square & Cube Roots

What Are the Common Core and NGSS Standards? A Parent's GuideWhat learning standards are, how to read a code like 3.NF.A.1 or MS-PS1-2, what each grade covers in Math, English and Science, and how to use them at home.

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