Math & Algebra Tool

Cube Root Calculator

Find the cube root (³√x) of any positive or negative number instantly.

³√

Σ The Formula

x = y³ ↔ y = ³√x

Real World Examples

Perfect Cube
³√64 = 4
Negative Cube
³√-125 = -5

# About This Calculator

The cube root of a number $x$ is a number $y$ such that $y^3 = x$. All real numbers (except zero) have exactly one real cube root.

Unlike square roots (where the square root of a negative number is imaginary), cube roots of negative numbers are real. This is because a negative number multiplied by itself three times remains negative. Cube roots are commonly used in mathematics, physics, and engineering to solve problems involving volume and three-dimensional scaling.

How To Use

  1. Enter a number into the input field.
  2. The number can be positive, negative, or zero.
  3. Click **Calculate Cube Root**.
  4. The result will be display with high precision (up to 6 decimal places).

Frequently Asked Questions

How is this different from a square root?+

A square root asks 'what number squared equals x?', while a cube root asks 'what number cubed equals x?'. Crucially, every negative number has a real cube root, but no negative number has a real square root.

Are cube roots always decimals?+

No. If the number is a 'perfect cube' (like 1, 8, 27, 64, 125, etc.), the cube root will be a whole number (an integer).

Is Cube Root Calculator free to use?+

Yes, Cube Root Calculator on Matheric is completely free to use. We believe in accessible education and utility for everyone.

How accurate is Cube Root Calculator?+

We use standard mathematical formulas and high-precision computing algorithms to ensure results for Cube Root Calculator are accurate for academic and professional use.

Can I use Cube Root Calculator on my phone?+

Yes! Cube Root Calculator is fully responsive and optimized for all devices, including smartphones, tablets, and desktops.

Do you save my data?+

No. We prioritize your privacy. All calculations are performed in your browser or temporarily processed, and we do not store your personal input data.

About

The cube root of a number $x$ is a number $y$ such that $y^3 = x$. All real numbers (except zero) have exactly one real cube root.

Unlike square roots (where the square root of a negative number is imaginary), cube roots of negative numbers are real. This is because a negative number multiplied by itself three times remains negative. Cube roots are commonly used in mathematics, physics, and engineering to solve problems involving volume and three-dimensional scaling.

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