Find the cube root of 12167. (a) 23 (b) 13 (c) 3343

By Ritesh|Updated : November 10th, 2022

The cube root of 12167 is 23. It is given: 12167 is a natural number. We can use the formula: Viloknum technique (Vedic Mathematics). Steps to find the cube root of 12167:

  1. From right to left, divide the provided number, 12167, into three digits groups each.
  2. The first group contains the last three digits of the number 167, and the second group has the digits 12.
  3. The first group number 167's last digit is 7.
  4. According to table number 1, the cube root's final digit is 3.
  5. From table Number 2, the cube root of the second group number 12, in the tens place, is 2. This number is 2.
  6. Consequently, 23 is the cube root of 12167.

Hence, the cube root of 12167 is 23.

Cube Root Value

Table I

Cubic Number

Last Digit of the Cube Root

1

1

2

8

3

7

4

4

5

5

6

6

7

3

8

2

9

9

Table II

The second group of the number

Tenth place digit of cube root number

1-7

1

8-26

2

27-63

3

64-124

4

125-215

5

216-342

6

343-511

7

512-728

8

729-999

9

Summary:

Find the cube root of 12167. (a)23 (b)13 (c)3343

12167 has a cube root value of 23.

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