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Question
Given that: \[\sqrt{2} = 1 . 414, \sqrt{3} = 1 . 732, \sqrt{5} = 2 . 236 \text { and }\sqrt{7} = 2 . 646,\] evaluate the following:
\[\sqrt{\frac{144}{7}}\]
Solution
Given: \[\sqrt{7} = 2 . 646\]
\[ \sqrt{\frac{144}{7}} = \frac{\sqrt{144}}{\sqrt{7}} = \frac{12}{2 . 646} = 4 . 536\]
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