Question

The cube root of 10648​

Answer 1

cube root of 10648 is 22

HOPE IT HELP YOU ....

Answer 2

Answer: The cube root of 10648 is 22

Step-by-step explanation:

By prime factorization method-

First step - prime factorize 10648

Second step - then make triplets of the factors (i.e. 2, 2, 2 in one triplet  and 11,11,11 in the other triplet)

Third step - therefore 10648 cube root = 2 * 11 = 22.

Therefore cube root of 10648 = 22

By estimation or long division method -

First step - find the units digit of the cube root... If in case you don't know which digits will be there in the units digit of the cube root ending with the corresponding number, l am mentioning it below

Unit digit of cu    unit digit of cu root

     1.                         1

     2.                        8

     3.                        7

     4.                        4

     5.                        5

     6.                        6

     7.                        3

     8.                        2

     9.                        9

     0.                        0

This will be your unit's digit (in this case 2)

Second step - now strike last 3 digits

Third step - find the cubes in between which your remaining number is  there and then choose the smaller number and it's square digit would be your tens digit.  If you want to extend this rule make pairs of three of the remaining digits ( if there are more than 3 remaining digits after striking out the last 3 digits)

In this case 10 is between the cubes of 2 and three therefore we choose 2, which is our tens digit.

Therefore the cube root of 10648 is 22

You can take a look on the pics too...

Thanks for watching my solution