Cube Root Calculator
Calculate cube roots.
Input
Result
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What is a Cube Root Calculator?
A cube root calculator finds the value that when multiplied by itself three times gives the original number. It is used in geometry, physics, and engineering to reverse cubic relationships.
How to calculate a cube root manually (the formula)
The cube root of x is a number r such that r3 = x. For perfect cubes like 27, ³√27 = 3. For non-perfect cubes, find the nearest perfect cubes and estimate the value between them.
Example calculation
³√27 = 3 because 3 × 3 × 3 = 27. ³√50 ≈ 3.68 because 33 = 27 and 43 = 64.
Common mistakes
- Thinking cube roots of negatives are imaginary — Unlike square roots, cube roots of negative numbers are real and negative.
- Confusing cube root with square root — The cube root is multiplied three times, not twice.
- Misidentifying perfect cubes — 64 is 43, not 83. 83 = 512.
Frequently asked questions
What is a cube root?
A value that when cubed (x³) gives the number.
How do you calculate a cube root by hand?
Estimate between perfect cubes.
What is the cube root symbol?
³√.
Can you take the cube root of a negative number?
Yes, the result is real and negative.
What is a perfect cube?
A number whose cube root is an integer.
How is cube root used in real life?
Finding side lengths from volumes, and in physics.