Find cube root by vedic maths

We have to look at the numbers from 1 to 9.

     Cube of 1 (1³)  =      1
Cube of 2 (2³)  =      8
Cube of 3 (3³)  =    27
Cube of 4 (4³)  =    64
Cube of 5 (5³)  =  125
Cube of 6 (6³)  =  216
Cube of 7 (7³)  =  343
Cube of 8 (8³)  =  512
Cube of 9 (9³)  =  729

     Cube of 10(10³)=1000

Some important things:-

1.     The sum of the digits of a perfect cube number can only be 1, 8 and 9, so if the sum of the digits is any other than these three, then that number cannot be a perfect cube.

2.     The numbers to the right of which zeros are not multiples of three are incomplete cube numbers like 100, 10000, 2160000 etc.

3.     As many groups of 3–3 digits are formed in a perfect cube number, there will be as many digits in the cube root.

Finding the unit digit of the cube root of a perfect cube number :-

1.     If the unit digit of number is 2, then the unit digit of cube root is 8.

2.     If the unit digit of number is 8, then the unit digit of cube root is 2.

3.     If the unit digit of number is 3, then the unit digit of cube root is 7

4.     If the unit digit of number is 7, then the unit digit of cube root is 3.

5.     If the unit digit of the number is 1, 4, 5, 6, 9, 0 then the unit digit of the cube root will also be the same. Ex.- If the number is 216 then unit digit of cube root is 6 also.

To find the cube root of a perfect cube number up to 6 digits :-

Illustration 1 :- In 39304

Solution :-

Step 1:- At first we take two parts of given number

1^st part                2^nd part

   39                       304     

Note:-2^nd part have last three digit always & rest in 1^st part.

Step 2:- 3³ < 39 < 4³

we take 3 is the 1^st part of answer.(Always take least number)

Step 3:- Last digit is 4 , it means 4 is the 2^nd part of answer.

Step 4:- Answer is 34

Illustration 2 :- In 884736

Solution :-

Step 1:- At first we take two parts of given number

1^st part                2^nd part

   884                     736     

Note:-2^nd part have last three digit always & rest in 1^st part.

Step 2:- 9³ < 884 < 10³

we take 9 is the 1^st part of answer.(Always take least number)

Step 3:- Last digit is 6 , it means 6 is the 2^nd part of answer.

Step 4:- Answer is 96