Cube Root Calculator

Instantly calculate the cube root of any number. Features include perfect cube detection, support for negative numbers, and adjustable decimal precision.

Cube Root Calculator

Instantly calculate the cube root of any number. Features include perfect cube detection, support for negative numbers, and adjustable decimal precision.

Number

\sqrt[3]{\;}

Precisiondecimals

What is a Cube Root?

The cube root of a number is a value that, when used as a factor three times (multiplied by itself twice), equals the original number. For instance, the cube root of 27 is 3 because 3 × 3 × 3 = 27. It is represented by the symbol ∛. Unlike square roots, cube roots exist for all real numbers, including negative numbers (e.g., ∛-8 = -2).

\sqrt[3]{x} = y \iff y^3 = x

Common Examples

\sqrt[3]{8} = 2

(Perfect Cube)

\sqrt[3]{27} = 3

(Perfect Cube)

\sqrt[3]{-8} = -2

(Negative Number)

\sqrt[3]{10} \approx 2.154

(Irrational Number)

Key Features & Tips

•Universal Input: Calculate cube roots for positive integers, negative numbers, and decimals.
•Perfect Cubes: Numbers like 1, 8, 27, 64, and 125 are perfect cubes with whole number roots.
•Negative Numbers: The cube root of a negative number is always negative.
•Precision: Adjust decimal places (1-20) for precise calculations of non-perfect cubes.

Related Calculators

Explore more tools that might be useful for your calculations

√

Square Root Calculator

Calculate the square root of any positive number with detailed results including perfect square detection and simplified radical forms.

Explore