question_answer

After rationalizing \[\mathbf{E=}\frac{\mathbf{1}}{\sqrt{\mathbf{2}}\mathbf{+}\sqrt{\mathbf{3}}\mathbf{-}\sqrt{\mathbf{5}}}\], the value of \[\mathbf{4}\sqrt{\mathbf{3}}\mathbf{E}\]is _________

A)  \[\frac{\sqrt{2}+\sqrt{3}+\sqrt{5}}{\sqrt{3}}\]                                      

B)  \[2+\sqrt{6}-\sqrt{10}\]

C)  \[2+\sqrt{6}+\sqrt{10}\]           

D)  \[\frac{\sqrt{2}+\sqrt{3}-\sqrt{5}}{3}\]

E)  None of these