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.

Cube Root - dCode

Tag(s) : Symbolic Computation, Functions

dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day!

A suggestion ? a feedback ? a bug ? an idea ? *Write to dCode*!

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.

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)

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} $

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)

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)

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 :

1^3 | 1 |

2^3 | 8 |

3^3 | 27 |

4^3 | 64 |

5^3 | 125 |

6^3 | 216 |

7^3 | 343 |

8^3 | 512 |

9^3 | 729 |

10^3 | 1000 |

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

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

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 !

Please, check our community Discord for help requests!

cube,root,cbrt,simplify,sqrt,calculator,cubed

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

© 2020 dCode — The ultimate 'toolkit' to solve every games / riddles / geocaching / CTF.

Feedback

▲