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
- Enter a number into the input field.
- The number can be positive, negative, or zero.
- Click **Calculate Cube Root**.
- 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.