question_answer

If \[\mathbf{A=}\frac{\sqrt{\sqrt{\sqrt{\sqrt{\mathbf{2+}\sqrt{\mathbf{3}}}}}}}{\sqrt{\sqrt{\sqrt{\sqrt{\mathbf{2-}\sqrt{\mathbf{3}}}}}}}\], then find the value of A8.

A)  \[{{(2-\sqrt{3})}^{1/2}}\]                                            

B)  \[{{(2+\sqrt{3})}^{1/4}}\]

C)  \[{{\left( \frac{2+\sqrt{3}}{2-\sqrt{3}} \right)}^{1/4}}\]                                     

D)  \[2+\sqrt{3}\]

E)  None of these