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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:
\[\frac{196}{75}\]
Solution
From the given values, we can simplify the expressions in the following manner:
\[ \sqrt{\frac{196}{75}} = \frac{14}{5\sqrt{3}} = \frac{14}{5 \times 1 . 732} = 1 . 617\]
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