Question

Using square root table, find the square root
11.11

Answer 1

We have: 

\[\sqrt{11} = 3 . 317\text{ and }\sqrt{12} = 3 . 464\]

Their difference is 0.1474.
Thus, for the difference of 1 (12  \[-\] 11), the difference in the values of the square roots is 0.1474.
For the difference of 0.11, the difference in the values of the square roots is:
0.11\[\times\] 0.1474 = 0.0162 

\[\therefore\] \[\sqrt{11 . 11} = 3 . 3166 + 0 . 0162 = 3 . 328 \approx 3 . 333\]