Number

Degree of the root

Root

Our cube root calculator is a handy tool that will help you determine the cube root of any positive number. Continue reading if you want to learn the cube root definition, familiarize yourself with the properties of the cube root function, and calculate a root of a higher degree. Don't forget to try the square root calculator as well.

Let's assume you want to find the cube root of number **x**. The cube root **y** is such a number that, if raised to third power, will give **x** as a result. If you formulate this mathematically,

`∛(x) = y <=> y^3 = x`

A cube root is a special case of exponent. It can be written down as

`∛(x) = x ^ (1/3)`

Most often, the cube root will not be a rational number (one that can be expressed as a quotient of two natural numbers).

It is really easy to find the cube root of any positive number with our cube root calculator! Simply type in any number to find its cube root. For example, the cube root of 216 is 6.

You can also use this calculator to find the root of a higher degree. Go into the advanced mode and change the degree of the root. Our calculator will automatically do all necessary calculations. If you want to perform a reverse operation, head to the exponent calculator.

Note that it is possible to find a cube root of a negative number as well. After all, a negative number raised to third power is still negative - for instance, `(-6)^3 = -216`

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You can graph the function `y = ∛(x)`

. It is an odd function - it means that it is symmetric with respect to the origin and fulfills the condition `- f(x) = f(-x)`

. This function passes through zero.

You can find the most common cube root values below. Don't hesitate to use our cube root calculator if the number you want is not on this list!

- ∛(1) = 1
- ∛(8) = 2
- ∛(27) = 3
- ∛(64) = 4
- ∛(125) = 5
- ∛(216) = 6
- ∛(1000) = 10

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