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### Basic Cube Values

1st of all we need to remember the cubes of number ranging from 1 to 10. Below the cubes of this number is given in table form:-

Number |
Cube |

1 |
1 |

2 |
8 |

3 |
27 |

4 |
64 |

5 |
125 |

6 |
216 |

7 |
343 |

8 |
512 |

9 |
729 |

10 |
1000 |

### Last Digits of Cube Roots

Another table we need to remember for evaluating cube roots is given below:-

Last digit of the cube |
Last digit of the cube roots |

1 |
1 |

2 |
8 |

3 |
7 |

4 |
4 |

5 |
5 |

6 |
6 |

7 |
3 |

8 |
2 |

9 |
9 |

0 |
0 |

Now take some example:-

### Examples

*Example 1*:

*Find [latex] \sqrt[3]{941192}[/latex]*

__A____nswer__: – Detailed step is given below

- 1
^{s}^{t}of all write the number as two pair of three digits each,__941____1____92__. - Since cube ends with 2 so last digit of the cube root is 8. (As given in the above table).
- Now the left pair of the number is 941. So it lies between 729([latex]\sqrt[3]9[/latex]) and 1000( [latex] \sqrt[3]{10}[/latex]).
- Now out of 9and 10 smaller number is 9, so we take 9 as the left part in the answer and put it left to the 8. So final answer is
**98.**

** Example 2**:

*Find [latex]\sqrt[3]{1367631}[/latex]*

__A____nswer__: Steps are given below,

- Here we have to divide the number as 1367 631 (Remember, 2 nd part always consist of last three digit number).
- Now last digit of cube is 1 so last digit of the cube root is 1. We get the extreme right part of the cube root.
- Now the left part 1367 lies between 1331( [latex]\sqrt[3]{11}[/latex]) and 1728([latex]\sqrt[3]{12}[/latex]).
- So smaller number between 11 and 12 is 11. So the left part of [latex]\sqrt[3]{11}[/latex]. The answer is
**111.**

** Example 3**:

*Find [latex]\sqrt[3]{79507}[/latex].*

__A____nswer:____ __Steps are given below,

- Here we have to divide the number as
__79 5____0____7__ - Now last digit of the cube is 7,so last digit of the cube root 3.We get the right part of the answer as 3.
- Now the left part lies between 64([latex]\sqrt[3]{4}[/latex]) and 125([latex]\sqrt[3]{5}[/latex]).
- So the smaller number between 4 and 5 is 4.
- So the answer is
**43.**