Question

Given that: \[\sqrt{2} = 1 . 414, \sqrt{3} = 1 . 732, \sqrt{5} = 2 . 236 \text { and }\sqrt{7} = 2 . 646,\] evaluate  the following: 

\[\sqrt{\frac{144}{7}}\] 

Answer 1

Given: \[\sqrt{7} = 2 . 646\] 

\[ \sqrt{\frac{144}{7}} = \frac{\sqrt{144}}{\sqrt{7}} = \frac{12}{2 . 646} = 4 . 536\]