 With some basic math skills and some algebra, one can easily calculate the large cube root by following the below steps. The majority of people often depend on calculators to solve their problems. Instead of understanding concepts clearly, the over-dependence of the calculator in general stress repetition retention of pluggable formulae and techniques and also it will slaughter both your enthusiasm and capacity for mathematics. This article discusses the short trick to find out the cube root of a perfect cube in less than 5 seconds without the use of a calculator.

## What is a cube and cube root?

A cube root is a special value that we will get when we multiply three times the desired number. Thus, a perfect cube is a cube of a whole number.

For example, Cube of 3 can be written as 3x3x3 = 27

and cube root of 27 = 3

## Procedure for finding cube root of large numbers

To find out the cube root large number, one has to remember the cube of 1 to 10 as shown below

Number and its cube table

13 = 1

23 = 8

33 = 27

43 = 64

53 = 125

63 = 216

73 = 343

83 = 512

93 = 729

103 = 1000

## Example 1: ∛50653

Let the answer format be X Y

Step 1:

To find Y, Note down the last  digit in the given number

5 0 6 5 3

In this example its 3

Step 2: Now from the above table check which number cube ends in 3. In this case 73= 343. 343 is the only number which ends in 3 and it’s a perfect cube of 7. Therefore the last digit of our cube root Y = 7.

: = X_7

Step 3: In order to find X, the first digit. Consider first two digit in case of a 5 digit number.

5 0 6 5 3

For example, in this case its 50

Step 4: Compare the number 50 with the table given above. 50 is between  33 = 27 and 43 = 64

Step 5: Choose the lower value and that will be X. Therefore X = 3

Cube root of 50653 = 3 7 ## Example 2: ∛681472

Let the answer format be X Y

Step 1:

To find Y, Note down the last  digit in the given number

6 8 1 4 7 2

In this example its 2

Step 2: Now from the above table check which number cube ends in 2. In this case 83= 512. 512 is the only number which ends in 2 and it’s a perfect cube of 8. Therefore the last digit of our cube root Y = 8.

= X_8

Step 3: In order to find X, the first digit. Consider first three digits in case of a 6 digit number.

6 8 1 4 7 2

For example, in this case its 681

Step 4: Compare the number 681 with the table given above. 681 is between  83 = 512 and 93 = 729

Step 5: Choose the lower value and that will be X. Therefore X = 8

Cube root of 681472= 8 8 ## Example 3: ∛328509

Let the answer format be X Y

Step 1:

To find Y, Note down the last digit in the given number

3 2 8 5 0 9

In this example its 9

Step 2: Now from the above table check which number cube ends in 9. In this case 93= 729. 729 is the only number which ends in 9 and it’s a perfect cube of 9. Therefore the last digit of our cube root Y = 9.

: = X_9

Step 3: In order to find X, the first digit. Consider first three digits in case of a 6 digit number.

3 2 8 5 0 9

For example, in this case its 328

Step 4: Compare the number 328 with the table given above. 328 is between  63 = 216 and 73 = 343

Step 5: Choose the lower value and that will be X. Therefore X = 6

Cube root of 328509 = 6 9 How to calculate the cube root of any number easily without a calculator (Vedic Maths Trick)