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Overview
Grade 8 Math
Develop number sense
1. Demonstrate understanding of perfect squares and square roots
1.2 Cubic and cube roots
Cubic and Cube Roots
Cubing and taking a cube root are inverse operations: one undoes the other.
What You'll Learn
Cubing multiplies a number by itself three times: 3 cubed equals 27.
A cube root undoes cubing: the cube root of 27 equals 3.
A perfect cube is the result of cubing a whole number, like 27 or 64.
Unlike square roots, negative numbers have real cube roots (the cube root of -27 is -3).
Prime factorization helps confirm or simplify a cube root.
What You'll Practice
1
Finding cube roots of positive and negative perfect cubes
2
Using prime factorization to simplify large cube root expressions
3
Extracting factors from cube roots of numbers like 1331 and 4913
4
Determining when negatives stay inside or move outside radicals
Why This Matters
Cube roots are essential for solving cubic equations, working with volume calculations in geometry, and understanding higher-level algebra. Mastering prime factorization with cube roots builds your number sense and prepares you for advanced topics in algebra and calculus.
Before You Start — Make Sure You Can:
This Unit Includes
4 Video lessons
Practice exercises
Learning resources
Skills
Cube Roots
Prime Factorization
Radicals
Perfect Cubes
Negative Numbers
Simplification
MB Curriculum Aligned