# Student Projects/Cube roots at a glance

Computation of cube root of a number by traditional method is very long and time consuming.By using simple vedic maths we can determine cube root of a number within a fraction of seconds by actually looking at the number

Let's find the cube root of **373248** by traditional or conventional method as well as by vedic method ￼

__Conventional method__

2 | 373248 |

2 | 186624 |

2 | 93312 |

2 | 46656 |

2 | 23328 |

2 | 11664 |

2 | 5832 |

2 | 2916 |

2 | 1458 |

3 | 729 |

3 | 243 |

3 | 81 |

3 | 27 |

3 | 9 |

3 | 3 |

1 |

Cube root =2*2*2*3*3=72

__Vedic method__

**step 1**: put a slash,3 digitd from the right of the number

eg. 373/248

**step 2**:considering the first group 373,perfect cube smaller than it is 343 and cube root of 343 is 7
so the first digit of requires cube root is **7**

**step 3**:Last digit of the cube is 8, so the cube root must end in **2** as given in the table below

if a cube ends in | last digit of its cube root will be |
---|---|

1 | 1 |

2 | 8 |

3 | 7 |

4 | 4 |

5 | 5 |

6 | 6 |

7 | 3 |

8 | 2 |

9 | 9 |

0 | 0 |

￼ this table is based on the cubes of the numbers from 0-9 by picking the right most digit of the cube.

so, the last digit of the required cube root is 2

**so the cube root of 373248 is 72**