Question

Using square root table, find the square root
13.21 

Answer 1

From the square root table, we have: 
\[\sqrt{13} = 3 . 606 \text{ and } \sqrt{14} = \sqrt{2} \times \sqrt{7} = 3 . 742\]  

Their difference is 0.136.
Thus, for the difference of 1 (14\[-\] 13), the difference in the values of the square roots is 0.136.
For the difference of 0.21, the difference in the values of their square roots is: \[0 . 136 \times 0 . 21 = 0 . 02856\] 

\[\therefore\] \[\sqrt{13 . 21} = 3 . 606 + 0 . 02856 \approx 3 . 635\]