1.

If \[\mathbf{a=}\frac{\sqrt{\mathbf{5}}\mathbf{-}\sqrt{\mathbf{3}}}{\sqrt{\mathbf{5}}\mathbf{+}\sqrt{\mathbf{3}}}\]and \[\mathbf{b=}\frac{\sqrt{\mathbf{5}}\mathbf{+}\sqrt{\mathbf{3}}}{\sqrt{\mathbf{5}}\mathbf{-}\sqrt{\mathbf{3}}}\] then the value of \[\frac{{{\mathbf{a}}^{\mathbf{2}}}\mathbf{-ab+}{{\mathbf{b}}^{\mathbf{2}}}}{{{\mathbf{a}}^{\mathbf{2}}}\mathbf{+ab+}{{\mathbf{b}}^{\mathbf{2}}}}\mathbf{=?}\]

A.  \[\frac{63}{61}\]          
B.  \[\frac{67}{65}\]
C.  \[\frac{65}{63}\]                                  
D.  \[\frac{69}{67}\]
Answer» B.  \[\frac{67}{65}\]


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