Question

FIND THE 166375 BY ESTIMATION METHOD

Answer 1

Step-by-step explanation:

The given number 166375 can be written as 166,375

Take the last group i.e. 375

The last digit of perfect cube is 5. So, the last digit of the cube root is 5.

Therefore, the rightmost digit is 5.

Now take the next group i.e. 166.

To find the largest cube number we can subtract from 166 so that the result is ≥0

We can subtract 5

3

=125 from 166, because 166−125=41≥0(If we subtract 6

3

=216, we get 166−216=−56<0).

Thus, the next neighbour digit of the answer is 5.

Hence,

3√166375

=55