Tricks to find Cube Root: Vedic Maths

Finding cube root in a quick manner can be very important for the fast Calculations in any competitive exam.

Let us see how to find the cube root of a number?

The cube root of a number is another number that, when multiplied three times, makes the first number.

Now

Let us find the cube root of 39304 through a shortcut method involving four steps:

STEP 1:

To find the unit place of the cube root always remember the following points:

•    If the last digit of a cube root is 8 then the unit digit will be 2.
•    If the last digit of a cube root is 2 then the unit digit will be 8.
•    If the last digit of a cube root is 3 then the unit digit will be 7.
•    If the last digit of a cube root is 7 then the unit digit will be 3.
•    If the last digit of a cube root is other than 2, 3, 7 and 8 then put the same number as the unit digit.

Therefore, the unit digit will be 4.

STEP 2:

Now, strike off the last 3 digits of the given number.

39304

STEP 3:

Now, find the nearest cube of the first 2 digit from the left, i.e., 39.

The nearest cube is 27.

STEP 4:

Now, 3 is the cube root of 27.

Therefore, the ten’s place digit will be 3.

So, the answer will be 34.

ANOTHER EXAMPLE

Let us now find the cube root of 238328 with the same method

•    The unit digit will be 2.

•    Now, strike off the last 3 digits of the given number.

      238328

•    Now, find the nearest cube of the first 3 digit from the left, i.e., 238.
    The nearest cube is 216.

•    Now, 6 is the cube root of 216.
    Therefore, the ten’s place digit will be 6.

•    So, the answer will be 62.