Square Root or Cube Root? Name the Radicand
Written by Adi Ackerman, Head Teacher
"Square Root or Cube Root? Name the Radicand" is written for 8th Grade (Ages 13-14), and it covers Common Core 8.EE.A.2. A 7th grader who is already steady on square and cube roots can use it too, and an older student can use it as a short review.
8th grade math worksheet: write the radicand under each square or cube root sign, or none when no number works, as with −4. Answer key included. Part of our square roots collection. Aligned to Common Core standards.
How do I use this worksheet?
Start with perfect squares to 400 for fluency, then the side length sheet to show what a square root means. Use the puzzles and the cut and paste cards for review.
What students will practice
- Students will define the radicand as the number under a root sign.
- Students will find the radicand that gives a stated square or cube root.
- Students will explain why a square root cannot equal a negative number.
Square Roots of Perfect Squares to 400
Square and Cube Roots of Fractions and Decimals
Evaluate Expressions With Square Roots
Square Root Maze, Step to the Root
Model Square Roots as Side Lengths of Squares
Fill Missing Digits in Square Root Facts
Cut and Paste Perfect Squares to Their Roots
Cube Roots of Perfect Cubes, Including Negatives
Curriculum Links
Common Core State Standards
Expressions and Equations · 8th Grade
Standard: Use square root and cube root symbols to represent solutions to equations of the form x² = p and x³ = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.
View all 8.EE.A.2 worksheets →Find this in the curriculum
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FAQ
How do I use this square roots worksheet?
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Start with perfect squares to 400 for fluency, then the side length sheet to show what a square root means. Use the puzzles and the cut and paste cards for review.
What does this worksheet teach?
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Write the radicand under each square or cube root sign, or none when no number works, as with −4. The radicand is the number under a root sign. The directions on the page read: Write the number that belongs under each root sign. If no number works, write the word none in the box. Then answer Problem 13. An answer key is included.
Can I use this square roots worksheet for homeschool or classroom?
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Yes, both. We made it for 8th grade square and cube roots, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
What is the square root of a number?
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It is the nonnegative number that gives the number when multiplied by itself. The square root of 289 is 17 because 17 × 17 = 289. Square Roots of Perfect Squares to 400 practices 20 of these.
Is the square root of 36 + 64 the same as the square root of 36 plus the square root of 64?
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No. The square root of 36 + 64 is the square root of 100, which is 10. The square root of 36 plus the square root of 64 is 6 + 8, which is 14. Evaluate Expressions With Square Roots puts both on the page.
How is a square root related to the area of a square?
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The side length of a square is the square root of its area. A square with an area of 25 square units has sides of 5 units, and one with an area of 5 has sides of √5, which lies between 2 and 3.
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Worksheet Details
| Grade | 8th Grade |
| Subject | Math |
| Topic | Square and Cube Roots |
| Standard | 8.EE.A.2 |
| Pages | 1 page |
| Difficulty | Medium |
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Square Roots of Perfect Squares to 400
Square and Cube Roots of Fractions and Decimals
Evaluate Expressions With Square Roots
Square Root Maze, Step to the Root
Model Square Roots as Side Lengths of Squares
Fill Missing Digits in Square Root Facts
Cut and Paste Perfect Squares to Their Roots
Cube Roots of Perfect Cubes, Including Negatives