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Question
Given that:
\[\sqrt{2} = 1 . 414, \sqrt{3} = 1 . 732, \sqrt{5} = 2 . 236 \text{ and } \sqrt{7} = 2 . 646,\] find the square roots of the following:
\[\frac{400}{63}\]
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Solution
From the given values, we can simplify the expressions in the following manner:
\[ \sqrt{\frac{400}{63}} = \frac{20}{3\sqrt{7}} = \frac{20}{3 \times 2 . 646} = 2 . 520\]
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