Question

Solve : $\sqrt{\sqrt{50}+\sqrt{48}}$

Answer 1

$\sqrt{\sqrt{50}+\sqrt{48}}$

$=\sqrt{\sqrt{2}(\sqrt{25}+\sqrt{24})}$

$=\sqrt{\sqrt{2}(5+2\sqrt{6})}$

$=\sqrt{1.414(5+2\times 1.449)}$ $[\sqrt{2}=1.414,\sqrt{6}=2.449]$

$=\sqrt{1.414\left(9.898\right)}$

$=\sqrt{13.99}$

$=\mathrm{3.74.}$