ADVERTISEMENT

**Adblocker Detected**

We always struggled to serve you with the best online calculations, thus, there's a humble request to either disable the AD blocker or go with premium plans to use the AD-Free version for calculators.

Disable your Adblocker and refresh your web page 😊

ADVERTISEMENT

**Table of Content**

The cube root calculator computes the cube root (∛x) of the number “y” for positive and negative numbers. The online third root calculator displays the cube root of the given number within a second.

**“The cube root of a number is defined as the number acquired when cubed or multiplied three times by itself”.**

Mathematically, the cube root of the number “x” is a value “y” such that when “y” is multiplied by itself three times (y * y * y) then it equals the original number “x.”

Where:

y = (∛x)

- Cube root of 27 is 27= (∛3)
- Cube root of -8 = (∛-2)
- Cube root of 64 = (∛4)
- Cubic root of 216 = (∛6)

The perfect cube roots of the common number are mentioned above but there can also be imaginary roots of a number. Find the real and imaginary cube root in a matter of seconds with our simplify cube root calculator.

What are the principal and real roots of an integer 1000?

Formula to calculate the cube root of a number

x = ∛x

x = ∛1000

x = 10

Here all the roots are:

**Root 0:** 10, 0 i

**Root 1: **-5, 8.660254038 i

**Root 2:** -5, -8.660254038 i

There are certain properties of the cube root:

- All the odd numbers cube root is always an odd number.

∛125 = 5, ∛27 = 3.

- All even natural numbers’ cube root is always even.

∛8 = 2,∛64 = 4.

- All negative integer cube roots are always in negative integers.

(∛-8) = -2, (∛-27) = -3

The cube root of the common number is represented in the table:

Number (x) | Cube Root (∛x) |
---|---|

2 | 8 |

3 | 27 |

4 | 64 |

5 | 125 |

6 | 216 |

10 | 1000 |

Given the perfect cube root of the number above, you can check the cube root of the number whether it is real or imaginary with our cube root calculator.

A cube roots calculator allows you to find the cube root of a number quickly and accurately in no time:

Let’s find it how!

**Input:**

- Enter the integer
- Tap calculate

**Output:**

- Cubes Roots: Get accurate calculations for cube roots for the number entered.
- Step Involved: Complete steps that help you understand how the problem is solved.

Yes, It is possible to find the cube root of negative numbers. The result will also be negative when evaluating a negative integer cube root. You can find both the positive and negative cube root with the cubic root calculator

Yes, the square root of a number provides you a value when squared equals the original number. The cube root. On the other hand, cube root provides a value that equals the original number when it is cubed.

Here using the prime factorization methods

1728 = 2×2×2×2×2×2×3×3×3 1728 = 23×23×33

1728 = (2×2×3)3

1728 = 123

3√1728 = 12

From Wikipedia: Cube Root

From Collegedunia.com: Perfect Cube