If p=\frac{\sqrt{3q+2}+\sqrt{3q-2}}{\sqrt{3q+2}-\sqrt{3q-2}}, then what is the value of p^{2}-3pq+2?

Explanation

Applying componendo and dividendo simplifies the relation to p^2 - 3pq + 1 = 0, meaning p^2 - 3pq + 2 evaluates to 1. The official answer key marks option (c).

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