Can a cube root be negative?

Yes. Negative numbers have real cube roots because a negative number cubed remains negative.

What is an exact cube root?

A perfect cube, such as 8 or -27, has an integer cube root. Other inputs are shown as accurate decimals.

Can I find another root?

Use nth-root mode to calculate roots beyond cube roots when the index is a positive whole number.

How do I find a cube root on a calculator?

Enter the value, choose cube root, and check the inverse by cubing the answer. For 343, the exact cube root is 7 because 7³ = 343.

Can a cube root be negative?

Yes. Odd roots preserve the sign: ∛(−27) = −3 because (−3)³ = −27. This differs from an even root, which has no real value for a negative input.

Can I share a calculation?

Yes. Use Share to copy a URL containing the current calculator values, then open that link on another device or send it to someone else.

Cube Root Calculator – Cubic Root, Nth Root & Steps

A clear answer before the details

The cube root of x is the number that produces x when cubed. Unlike an even root, a real cube root can be negative.

Calculate a cubic root with an inverse check

A cube root calculator finds the number that produces the input when multiplied by itself three times. The cubic root calculator returns exact integers for perfect cubes such as 27 and −8, while other values receive a rounded decimal. The cubed root calculator keeps negative inputs real because a negative number cubed is negative: ∛(−8) = −2 and (−2)³ = −8.

When to use an nth root calculator

Use the nth root calculator mode when the index is not 3. The nth root of x is the number y for which yⁿ = x. An even root requires a non-negative real input, while an odd root can accept a negative input. Roots appear in volume, scaling, equations, statistics, and scientific notation. Always use the inverse check when a rounded decimal must be interpreted carefully.

Formula guide

The key equations are separated below. Start with the calculator mode, then choose the shape or model that matches your problem.

Cube root

∛x = y ⇔ y³ = x

Cubing the answer checks the original input.

Nth root

ⁿ√x = x¹⁄ⁿ

The root index n tells you which power to reverse.

Worked example

The cube root of −8 is −2 because (−2)³ = −8. The cube root of 10 is approximately 2.1544.

Formulas for common use cases

Use the matching equation for the problem you are solving, then enter its variables in the calculator above.

Volume of a cube

side = ∛volume

Cube root recovers a side length from volume.

Scale a model

linear scale = ∛(volume scale)

Volume changes by the cube of the linear scale.

Inverse check

answer³ ≈ input

Rounding can make the check approximate rather than exact.

How to use this calculator

Enter the number under the root.
Choose cube-root or nth-root mode.
Review the approximation and inverse check.
Use the exact result when the input is a perfect cube.

Where it helps

Cube roots appear in volume problems, scaling, algebraic equations, and scientific calculations. Supporting negative inputs avoids a common limitation of simple calculators and makes the inverse relationship explicit: cubing the displayed result returns the original input within rounding.

Common mistakes

Do not turn a cube root into a square root when the input is negative. For nth roots, an even index requires a non-negative real input. A decimal approximation may be rounded, so use the exact perfect-cube form when precision is important.