Free Cube Root Calculator | Unit Converter
Cube Root
3.000000
Verification
3.000000³ = 27.000000
Result Type
Exact
How It Works
Enter Number
Type any positive or negative number
Calculate Root
Get instant cube root result
What is a Cube Root Calculator?
A cube root calculator is a simple tool that helps you find the cube root of any number. The cube root of a number is a value that, when multiplied by itself three times, gives you the original number. For example, the cube root of 8 is 2 because 2 × 2 × 2 = 8.
Our free cube root calculator works with both positive and negative numbers. Unlike square roots, cube roots can be negative. For instance, the cube root of -8 is -2 because (-2) × (-2) × (-2) = -8. This makes cube root calculations very useful in many math problems.
The cube root calculator uses the mathematical symbol ∛ (called a radical sign with index 3). When you see ∛27, it means "find the cube root of 27." Our calculator gives you precise results instantly, making it perfect for homework, work projects, and learning math.
What
Cube root calculator finds the number that when cubed equals your input. Works with positive and negative numbers.
Why
Essential for algebra, geometry, engineering, and science. Helps solve volume problems and cubic equations easily.
Applications
Volume calculations, cubic equations, engineering design, physics problems, and mathematical modeling.
Common Examples
Perfect Cubes
∛8 = 2
∛27 = 3
∛64 = 4
Exact integer results
Negative Numbers
∛(-8) = -2
∛(-27) = -3
∛(-125) = -5
Negative cube roots
Decimal Numbers
∛0.001 = 0.1
∛1000 = 10
∛15.625 = 2.5
Decimal results
Cube Root Calculation Table
| Number | Cube Root | Verification | Type |
|---|---|---|---|
| 8 | 2 | 2³ = 8 | Perfect cube |
| 27 | 3 | 3³ = 27 | Perfect cube |
| -8 | -2 | (-2)³ = -8 | Negative cube |
| 125 | 5 | 5³ = 125 | Perfect cube |
| 1000 | 10 | 10³ = 1000 | Perfect cube |
| 15.625 | 2.5 | 2.5³ = 15.625 | Decimal cube |
*Cube root formula: If ∛a = b, then b³ = a
Frequently Asked Questions
What is a cube root?
A cube root is a number that when multiplied by itself three times equals the original number. For example, the cube root of 8 is 2 because 2 × 2 × 2 = 8.
Can cube roots be negative?
Yes, cube roots can be negative. Unlike square roots, cube roots of negative numbers are negative. For example, ∛(-8) = -2 because (-2)³ = -8.
What are perfect cubes?
Perfect cubes are numbers that have exact integer cube roots. Examples include 1, 8, 27, 64, 125, 216, 343, 512, 729, and 1000.
How do you write cube root?
Cube root is written with the radical symbol ∛. For example, ∛27 means "the cube root of 27." You can also write it as 27^(1/3) using exponent notation.
What is the cube root of 0?
The cube root of 0 is 0. This is because 0 × 0 × 0 = 0. Zero is the only number whose cube root equals itself.
How accurate is this cube root calculator?
Our cube root calculator is highly accurate, providing results up to 6 decimal places. It uses JavaScript's built-in Math.cbrt() function for precise calculations.
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Dr. Jane Doe
VerifiedExpert Reviewer & Mathematician
Last Updated: May 19, 2026