Cube Root Calculator
How It Works
This cube root calculator uses established formulas to provide accurate results.
The basic rule:
- ∛n = n^(1/3)
- Perfect cubes: 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000
- ∛(a·b) = ∛a · ∛b
Results are estimates. Consult a professional for critical decisions.
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Explore Allday Everyday Math →Frequently Asked Questions
What is a cube root?
The cube root of n is the number that, when multiplied by itself three times, gives n. For example, ∛27 = 3 because 3 × 3 × 3 = 27. Unlike square roots, cube roots of negative numbers are real.
Can cube roots be negative?
Yes. The cube root of a negative number is negative. For example, ∛(-8) = -2 because (-2)³ = -8. This is different from square roots, which are not real for negative numbers.
How do I simplify cube roots?
Find the largest perfect cube factor of the radicand. For example, ∛54 = ∛(27·2) = 3∛2.