Find the cube root of the number 166375 by looking at the last digit and using estimation.
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 53=125 from 166, because 166−125=41≥0(If we subtract 63=216, we get 166−216=−56<0).
Thus, the next neighbour digit of the answer is 5.
Hence, 3√166375=55