If \[\mathbf{p=}\frac{\sqrt{\mathbf{17}}\mathbf{+}\sqrt{\mathbf{15}}}{\sqrt{\mathbf{17}}\mathbf{-}\sqrt{\mathbf{15}}}\] and \[\mathbf{q=}\frac{\mathbf{1}}{\mathbf{p}}\], then the value of \[\mathbf{3}{{\mathbf{p}}^{\mathbf{2}}}\mathbf{-5pq+3}{{\mathbf{q}}^{\mathbf{2}}}\]is _________

If \[\mathbf{p=}\frac{\sqrt{\mathbf{17}}\mathbf{+}\sqrt{\mathbf{15}}}{

1.	If \[\mathbf{p=}\frac{\sqrt{\mathbf{17}}\mathbf{+}\sqrt{\mathbf{15}}}{\sqrt{\mathbf{17}}\mathbf{-}\sqrt{\mathbf{15}}}\] and \[\mathbf{q=}\frac{\mathbf{1}}{\mathbf{p}}\], then the value of \[\mathbf{3}{{\mathbf{p}}^{\mathbf{2}}}\mathbf{-5pq+3}{{\mathbf{q}}^{\mathbf{2}}}\]is _________
A.	3117
B.	3061
C.	3177
D.	2861
E.	None of these
Answer» C. 3177

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If \[\mathbf{p=}\frac{\sqrt{\mathbf{17}}\mathbf{+}\sqrt{\mathbf{15}}}{\sqrt{\mathbf{17}}\mathbf{-}\sqrt{\mathbf{15}}}\] and \[\mathbf{q=}\frac{\mathbf{1}}{\mathbf{p}}\], then the value of \[\mathbf{3}{{\mathbf{p}}^{\mathbf{2}}}\mathbf{-5pq+3}{{\mathbf{q}}^{\mathbf{2}}}\]is _________

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