Exams › SSC CGL (Prelims) › General

The value of \(\frac{1}{\sqrt{7}-\sqrt{5}} - \frac{1}{\sqrt{7}+\sqrt{5}}\) is:

1. \(\sqrt{5}\)
2. \(2\sqrt{5}\)
3. \(\sqrt{7}\)
4. \(2\sqrt{7}\)

Correct answer: \(\sqrt{5}\)

Solution

Rationalize each term or combine them using a common denominator. The expression simplifies to \(\sqrt{5}\) after cancellation of the surd terms.

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