Question

Given that: $\sqrt{2}=1.414,\sqrt{3}=1.732,\sqrt{5}=2.236\mathrm{and}\sqrt{7}=2.646,$ evaluate each of the following:

(i) $\sqrt{\frac{144}{7}}$
(ii) $\sqrt{\frac{2500}{3}}$

Answer 1

Given: $\sqrt{7}=2.646$
$\left(i\right)\sqrt{\frac{144}{7}}=\frac{\sqrt{144}}{\sqrt{7}}=\frac{12}{2.646}=4.536$

Given: $\sqrt{3}=1.732$
$\left(\mathrm{ii}\right)\sqrt{\frac{2500}{3}}=\frac{\sqrt{2500}}{\sqrt{3}}=\frac{50}{1.732}=28.867$