Cube Root Calculator
Find the cube root of any number instantly. Supports perfect cubes, decimals, and negative numbers with detailed explanations.
What is a Cube Root?
The cube root of a number x is a value y such that y³ = x. Unlike square roots, which can only be taken of non-negative numbers in the real number system, cube roots can be taken of any real number. For example, ∛27 = 3 and ∛-27 = -3.
Cube Root Definition
∛x = y ⟺ y³ = xThe number which, when multiplied by itself three times, equals the original number.
Examples
Perfect Cube: ∛64
4 × 4 × 4 = 64, therefore ∛64 = 4. = 4
Negative Cube: ∛-125
-5 × -5 × -5 = -125, therefore ∛-125 = -5. = -5
Frequently Asked Questions
Can you take a cube root of a negative?
Yes! Because a negative number times itself three times is still negative (e.g., -2 × -2 × -2 = -8), cube roots of negative numbers are always defined and negative.
How is a cube root different from a square root?
A square root asks 'what squared equals x', while a cube root asks 'what cubed equals x'. Also, square roots of negatives are undefined in real numbers, but cube roots are always defined.