\( \frac{\sqrt{(5+12 i)}+\sqrt{(5-12 i)}}{\sqrt{(5+12 i)}-\sqrt{(5-12 i)}} \) is equal to (where...

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\( \frac{\sqrt{(5+12 i)}+\sqrt{(5-12 i)}}{\sqrt{(5+12 i)}-\sqrt{(5-12 i)}} \) is equal to (where, \( \left.i=\sqrt{-1}\right) \)
(a) \( -\frac{3}{2} i \)
(b) \( \frac{3}{4} i \)
(c) \( -\frac{3}{4} i \)
(d) \( -\frac{3}{2} \)
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