 Online Calculators

# Cube Root Calculator

Cube Roots Calculator
$\sqrt{x} = \; ?$

## Calculator Use

Use this calculator to find the cube root of positive or negative numbers. Given a number x, the cube root of x is a number a such that a3 = x.

If x is positive a will be positive. If x is negative a will be negative. The Cube Root Calculator is a specialized form of our common Radicals Calculator.

## Example Cube Roots

• The 3rd root of 64, or 64 radical 3, or the cube root of 64 is written as $$\sqrt{64} = 4$$.
• The 3rd root of -64, or -64 radical 3, or the cube root of -64 is written as $$\sqrt{-64} = -4$$.
• The cube root of 8 is written as $$\sqrt{8} = 2$$.
• The cube root of 10 is written as $$\sqrt{10} = 2.154435$$.

## What is a Cube Root as an Exponent?

The cube root of x is the same as x raised to the 1/3 power. This is written as $$\sqrt{x} = x^{\frac{1}{3}}$$.

## What is a Cube Root of a Negative Number?

The common definition of the cube root of a negative number is:
(-x)1/3 = -(x1/3)

First take the cube root of the number and then make it negative.

### Example Cube Roots of Negative Numbers

• The cube root of -27 is written as $$\sqrt{-27} = -3$$.
• The cube root of -8 is written as $$\sqrt{-8} = -2$$.
• The cube root of -64 is written as $$\sqrt{-64} = -4$$.

### Cube Roots Resulting in the Integers 1 Through 10

• Cube root of 1 is 1
• Cube root of 8 is 2
• Cube root of 27 is 3
• Cube root of 64 is 4
• Cube root of 125 is 5
• Cube root of 216 is 6
• Cube root of 343 is 7
• Cube root of 512 is 8
• Cube root of 729 is 9
• Cube root of 1000 is 10

To calculate fractional exponents use our calculator for Fractional Exponents.

### References

Weisstein, Eric W. "Cube Root." From MathWorld -- A Wolfram Web Resource. Cube Root

Math is Fun Cube Roots

Cite this content, page or calculator as:

Furey, Edward "Cube Root Calculator" at https://www.calculatorsoup.com/calculators/algebra/cuberoots.php from CalculatorSoup, https://www.calculatorsoup.com - Online Calculators

Last updated: August 17, 2023