Simplify \(\frac{\sqrt{1 + x} + \sqrt{x}}{\sqrt{1 + x} - \sqrt{x}}\)
MATHEMATICS
JAMB 1991
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\(\sqrt{x (1 + x)}\)
Correct Answer: B. 1 + 2x + 2\(\sqrt{x (1 + x)}\)
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