Question

Find the value of square root of248+square root of52 +square root of144

Answer 1

$$\begin{gathered} \sqrt{248}+\sqrt{52}+\sqrt{144} \\ =\sqrt{2\times 2\times 2\times 31}+\sqrt{2\times 3\times 3\times 3}+\sqrt{2\times 2\times 2\times 2\times 3\times 3} \\ =2\sqrt{62}+3\sqrt{6}+2\times 2\times 3 \\ =2\sqrt{62}+3\sqrt{6}+12 \end{gathered}$$