question_answer

If \[{{\mathbf{x}}^{\mathbf{1/4}}}\mathbf{+}{{\mathbf{x}}^{\mathbf{-1/4}}}\mathbf{=2}\sqrt{\mathbf{2}}\] then find the value of\[{{\mathbf{x}}^{\mathbf{2}}}\mathbf{-}\frac{\mathbf{1}}{{{\mathbf{x}}^{\mathbf{2}}}}\].

A)  \[1152\sqrt{2}\]                                                

B)  \[\sqrt{2}-1\]

C)  \[816\sqrt{2}\]  

D)  \[\sqrt{2}\]

E)  None of these