Using square root table, find the square root

We have:

$\sqrt{11}=3.317$ 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:

$0.11 \times 0.1474=0.0162$

$\therefore \sqrt{11.11}=3.3166+0.0162=3.328 \approx 3.333$