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