Example Find the cube root of through estimation

Explanation:

(1)  Split the number from right into the group of three digit numbers. We have 2 parts 17 and 576 .

(2) The unit digit of 576 is 6 . Hence the unit digit of required cube root is 6.

(3) Now, We have to estimate the cube root of 17.

(4) It lies between 8 and 27 i.e cube of 2 and 3 . and 2³= and 3³=27

Take the unit digit of the smallest number i.e 2 .

So, The cube root of 17576 is 26 .

Final Answer:

The cube root of 17576 is found to be 26 through estimation.