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Simplify frac sqrt 1 x sqrt x sqrt 1 x - sqrt x - JAMB Mathematics 1991 Question

Simplify (\frac{\sqrt{1 + x} + \sqrt{x}}{\sqrt{1 + x} - \sqrt{x}})

A
-2x - 2\(\sqrt{x (1 + x)}\)
B
1 + 2x + 2\(\sqrt{x (1 + x)}\)
C
\(\sqrt{x (1 + x)}\)
D
1 + 2x - 2\(\sqrt{x (1 + x)}\)
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Correct Option: B
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