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Cube Root

Tool to compute a cube root. The cube root for a number N, is the number that, multiplied by itself than again by itself, equals N.

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Cube Root -

Tag(s) : Symbolic Computation, Functions

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Cube Root

Cube Root Calculator




Tool to compute a cube root. The cube root for a number N, is the number that, multiplied by itself than again by itself, equals N.

Answers to Questions

How to calculate a cube root?

Calculating a cubic root is not easy to do by hand except for usual values such as : $ \sqrt[3]{1} = 1 $, $ \sqrt[3]{8} = 2 $, $ \sqrt[3]{27} = 3 $, $ \sqrt[3]{64} = 4 $, $ \sqrt[3]{125} = 5 $, $ \sqrt[3]{1000} = 10 $

dCode software allows positive of negative numbers (complex roots) and answers an exact value or an approximate one (the precision can be adjusted by defining the precision: a minimum number of significant digits)

How to calculate a cube root on a calculator?

On a calculator, use the exponent button and the formula: $ \sqrt[3]{x} = x^{1/3} $

Example: Calculate the cube root of 64 on a calculator by typing 64 ^ (1/3) = (answer is 4)

On Casio or Texas Instrument TI, the button exponent is often written $ \boxed{y^x} $

How to compute a cube root on Excel?

On a spreadsheet like Microsoft Excel, use the same formula as for a calculator, for a value in A1 write A1^(1/3) or POWER(A1;1/3)

How to simplify a cube root?

The root simplifier will attempt to factor the expression under the root with a perfect cube.

Example: $ \sqrt[3]{8a} = 2 \sqrt[3]{a} $ (the $ 8 $ has been extracted from the root)

What is a cubic number?

A cubic number is the cube of an integer (cubed value).

Example: $ 2 $ is an integer, $ 2^3 = 2 \times 2 \times 2 = 8 $ then $ 8 $ is a square number.

If the cube root of a number $ x $ is an integer (relative, without decimal part), then $ x $ is a cubic number.

The first perfect cubes are :

1^31
2^38
3^327
4^364
5^3125
6^3216
7^3343
8^3512
9^3729
10^31000

What is the cube root of unity (1)?

Cube root of 1 is 1 becase $ \sqrt[3]1 = 1^{\frac{1}{3}} = 1 $

What does cbrt mean?

In some software, cbrt stands for cube root abbreviation cb of cube and rt for root, similar to sqrt for square root.

Example: cbrt(8)=2

Source code

dCode retains ownership of the online 'Cube Root' tool source code. Except explicit open source licence (indicated CC / Creative Commons / free), any algorithm, applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (PHP, Java, C#, Python, Javascript, Matlab, etc.) no data, script or API access will be for free, same for Cube Root download for offline use on PC, tablet, iPhone or Android !

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Questions / Comments

Thanks to your feedback and relevant comments, dCode has developped the best Cube Root tool, so feel free to write! Thank you !


Source : https://www.dcode.fr/cube-root
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