1.

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
Answer» D.  \[\sqrt{2}\]


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