Question:
Given that: $\sqrt{2}=1.414, \sqrt{3}=1.732, \sqrt{5}=2.236$ and $\sqrt{7}=2.646$, evaluate each of the following:
(i) $\sqrt{\frac{144}{7}}$
(ii) $\sqrt{\frac{2500}{3}}$
Solution:
Given: $\sqrt{7}=2.646$
$(i) \sqrt{\frac{144}{7}}=\frac{\sqrt{144}}{\sqrt{7}}=\frac{12}{2.646}=4.536$
Given: $\sqrt{3}=1.732$
(ii) $\sqrt{\frac{2500}{3}}=\frac{\sqrt{2500}}{\sqrt{3}}=\frac{50}{1.732}=28.867$
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