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