Finding the cube root of a number is an important chapter in mathematics. But using the traditional method for finding cube root is time-consuming. Here, you can find a simple tutorial for Finding Cube Root by Vedic Maths. You have to remember the cube table from 1 to 10 and the properties of cube root ends to calculate the cube root of any perfect cube quickly. This Vedic Maths Tricks for Cube Roots will be helpful for students and kids to find cube roots of any number easily.

A trick for calculating cubic roots using Vedic mathematics for a 5 or 6 digit number

The following table 1 contains **number** and its equivalent **cube**

Number | Cube |
---|---|

1 | 1 |

2 | 8 |

3 | 27 |

4 | 64 |

5 | 125 |

6 | 216 |

7 | 343 |

8 | 512 |

9 | 729 |

10 | 1000 |

The following table 2 contains **cube ends in** and its **cube root ends in**

Cube Ends in | Cube Root Ends in |
---|---|

1 | 1 |

2 | 8 |

3 | 7 |

4 | 4 |

5 | 5 |

6 | 6 |

7 | 3 |

8 | 2 |

9 | 9 |

0 | 0 |

**Example:**
Find the Cube Root of 32768 using Vedic Maths Method

**Step 1:**
Divide the number into two groups (Divide it in such a way, 2 digits in left and 3 digits in right.

32 | 768

Therefore,

**L.H.S = 32**
**R.H.S = 768**

**Step 2:**
By observing the number 32 lies between cube root of 3 and 4 (i.e) 27 and 64 from table 1. we should take the cube root of the smaller number. so,we can conclude that cube root of the number should be 3.

**Hence for first digit on L.H.S, the cube root is 3**
**Step 3:**
Coming to the R.H.S, from rule 2 it is shown as when the last digit of the cube is 8, its cube root should be 2.
**Therefore, R.H.S of the cube root is 2**
Finally, **cube root for 32768 is 32 .**

**Note:**
1) Cube of a 2-digit number will have a maximum of 6 digits (99^{3} = 970,299). That implies if you are given with a 6 digit number, its cube root will have 2 digits.
2) This trick works only for perfect cubes, it will not work for any arbitrary 6-digit.
3) It works only for integers.