Cube Root Calculator
Cube Root Calculator
Calculate the real cube root of any positive, negative or zero number. Enter a value to find the number that, when multiplied by itself three times, gives the original value.
Enter your values
Enter a number and select Calculate.
Cube Root Calculator – Find the Cube Root of Any Number
A cube root calculator helps you find the number that must be multiplied by itself three times to produce a given value. The cube root is written with the symbol ∛. For example, the cube root of 27 is 3 because 3 × 3 × 3 = 27.
Use this calculator for positive numbers, negative numbers, decimals and zero. Unlike square roots in the real number system, cube roots are defined for negative values as well. For example, the cube root of −8 is −2 because (−2) × (−2) × (−2) = −8.
Cube Root Formula
The cube root of a number x is the value r whose cube equals x. Cubing a number means multiplying it by itself three times: r³ = r × r × r. The cube root reverses this operation.
Worked Examples
4 × 4 × 4 = 64, so ∛64 = 4.
(−5) × (−5) × (−5) = −125, so ∛(−125) = −5.
0.2 × 0.2 × 0.2 = 0.008, so ∛0.008 = 0.2.
How to Use the Cube Root Calculator
- Enter the number whose cube root you want to calculate.
- Select the Calculate button.
- Read the cube root displayed in the result area.
- Select Clear to remove the current value and start another calculation.
What Is a Perfect Cube?
A perfect cube is an integer that can be written as another integer multiplied by itself three times. Examples include 1, 8, 27, 64, 125 and 216. Their cube roots are 1, 2, 3, 4, 5 and 6 respectively. Negative integers can also be perfect cubes, such as −8 and −27.
Cube Root vs. Square Root
A square root asks which number multiplied by itself gives the original value. A cube root asks which number multiplied by itself three times gives the original value. In real numbers, square roots of negative values are not defined, while cube roots of negative values are real and negative.
Frequently Asked Questions
1. What is a cube root?
A cube root is a number that, when multiplied by itself three times, equals the original number. The cube root of 27 is 3 because 3³ = 27.
2. How do I calculate a cube root?
Enter the number in the calculator and select Calculate. The tool returns the real number whose cube equals the entered value.
3. Can I calculate the cube root of a negative number?
Yes. Every negative real number has a real negative cube root. For example, ∛(−64) = −4.
4. What is the cube root of zero?
The cube root of zero is zero because 0 × 0 × 0 = 0.
5. What is a perfect cube?
A perfect cube is a number formed by multiplying an integer by itself three times, such as 8, 27, 64 or 125.
6. What is the cube root of 8?
The cube root of 8 is 2 because 2 × 2 × 2 = 8.
7. What is the difference between a square root and a cube root?
A square root reverses squaring (power 2), while a cube root reverses cubing (power 3).
8. Can a cube root be a decimal?
Yes. Cube roots can be whole numbers, terminating decimals or non-terminating decimals, depending on the input.
9. Is the cube root of a number always positive?
No. A positive input has a positive cube root, zero has a zero cube root, and a negative input has a negative cube root.
10. What is the cube root symbol?
The cube root symbol is ∛. It is written before the number or expression whose cube root is being found.
Related Calculators
Explore these related SRIKAMI calculators: