Question

Given that: 

\[\sqrt{2} = 1 . 414, \sqrt{3} = 1 . 732, \sqrt{5} = 2 . 236 \text{ and } \sqrt{7} = 2 . 646,\]ind the square roots of the following: 

\[\frac{196}{75}\]

Answer 1

From the given values, we can simplify the expressions in the following manner: 

\[ \sqrt{\frac{196}{75}} = \frac{14}{5\sqrt{3}} = \frac{14}{5 \times 1 . 732} = 1 . 617\]