Trick to find Cube root of a number

Today I will be sharing the trick to find the Cube Root of any number (perfect Cubes only) without the need of any calculator. But before that just learn this table as you will need it to find the Cube Root.

NUMBER	Cube	LAST DIGIT OF CUBE
0	0	0
1	1	1
2	8	8
3	27	7
4	64	4
5	125	5
6	216	6
7	343	3
8	512	2
9	729	9

Trick used

We will follow these steps to find the Cube root of a number:

Ignore the last 3 digits of the number. Let remaining number be ‘I’.
From the above table check which number’s cube is less than or equal to ‘I’. It will be left part of our answer. Let it be “L”.
Let Right part of our answer be “R”. It will be determined from the above table
For Example
If last digit of question is 7, then last digit of our answer will be 3.
Our answer will be L|R.

Example:

Suppose we want to find the cube root of 21952.

Step 1:

Ignore last two digits of 21~~952~~. Remaining number left is 21.
Step 2:

From the above table cube of 2 is less than 21. Therefore left part (L) of our answer will be 2.
Step 3:

Since last digit of 21952 is 2. Therefore right part (R) of our answer will be 8 (Because Last digit of cube of 8 is 2. see table above).

Step 4:

Our Answer will be L|R.

Therefore Answer will be 2|8 = 28.

Therefore, √1225 = 35

Example:

Suppose we want to find the cube root of 148877.

Step 1:

Ignore last two digits of 148~~877~~. Remaining number left is 148.

Step 2:

From the above table cube of 5 is less than 148. Therefore left part (L) of our answer will be 5.

Step 3:

Since last digit of 148877 is not equal to 7. Therefore right part (R) of our answer will not be 3 (Because Last digit of cube of 3 is 7. see table above).

Step 4:

Our Answer will be L|R.

Therefore answer will be 5|3 = 53