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Vedic Math Method For Finding Cube Root Of Perfect Cubes

Ajinkya Anant Jawalkar
21/06/2017 0 0

I request the students to memorize the cubes of numbers 1 to 10.

The list is below:

1  1

2  8

3  27

4  64

5  125

6  216

7  343

8  512

9  729

10 1000

Remeber the last digit of the cubes for the corresponding number. Like the number 7 and last digit 3

On the basis of above cube roots we can draw the conclusion as below.

The last digit of the cube                              The last digit of the cube root

1                                                                                 1

2                                                                                 8

3                                                                                 7

4                                                                                 4

5                                                                                 5

6                                                                                 6

7                                                                                 3

8                                                                                 2

9                                                                                 9

0                                                                                 0

We can conclude that all cubes end with the same number except 3, 7 and 2

Method:

If the cube given to you is 39304, split it into 39|304.

Q.) Cube root of 287496

A.) Split it to 287|496. Since it ends in 6, the cube root also ends in 6, so now we have the right hand part.

Now take the part on LHS i.e.: 287. We need two perfect cubes between which the number 287 lies.

From the above table we find that 287 lies between 216 (6^3) and 343 (7^3).We take the smaller number 6 and put it in the left hand part of our number. Thus the answer is 66.

Q.) 205379

A.) Split 205|379.

The cube ends in 9. So the root also ends in 9. Left hand part is 205. It lies between 125 and 216. Out of 5 and 6 we take the smaller number and put it on the left hand side of the answer.

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