Question

Write the shortcut method to find the
cube root of 39,304.​

Answer 1

Step-by-step explanation:

Step I: Form groups of 3 starting from right most digit of 39304, i.e.

39

304

.

Then, the two groups are 39 and 304.

Here, 39 has 2 digit and 304 has 3 digit.

Step II: Take 304.

Digit in unit place =4.

Therefore, we take one's place of required cube root as 4 ....[Since, 4

3

=64].

Step III: Now, take the other group 39.

We know, 3

3

=27 and 4

3

=64.

Here, the smallest number among 3 and 4 is 3.

Therefore, we take 3 as ten's place.

∴

3

39304

=34.

Answer 2

Step-by-step explanation:

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.