# Cube Root Calculator

## 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 *a ^{3} = x*. If

*x*positive

*a*will be positive, if

*x*is negative

*a*will be negative. Cube roots 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 \( \sqrt[3]{64} = 4 \).
- The 3rd root of -64, or -64 radical 3, or the cube root of -64 is written as \( \sqrt[3]{-64} = -4 \).
- The cube root of 8 is written as \( \sqrt[3]{8} = 2 \).
- The cube root of 10 is written as \( \sqrt[3]{10} = 2.154435 \).

The cube root of *x* is the same as *x* raised to the 1/3 power. Written as \( \sqrt[3]{x} = x^{\frac{1}{3}} \). The common definition of the cube root of a negative number is that *
(-x) ^{1/3}* =

*-(x*.[1] For example:

^{1/3})- The cube root of -27 is written as \( \sqrt[3]{-27} = -3 \).
- The cube root of -8 is written as \( \sqrt[3]{-8} = -2 \).
- The cube root of -64 is written as \( \sqrt[3]{-64} = -4 \).

Cube roots (for integer results 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

[1] Weisstein, Eric W. "Square Root." From *MathWorld* -- A Wolfram Web Resource. Cube Root

### Additional reading on cube roots:

Math Forum Is 0 a perfect square?

Math is Fun Cube Roots

**Cite this content, page or calculator as:**

Furey, Edward "Cube Root Calculator"; from *http://www.calculatorsoup.com* - Online Calculator Resource.