Correct Answer: Option A

Explanation

\(\frac{1}{\sqrt{2} + \sqrt{5}}\)

\(\frac{1}{\sqrt{2} + \sqrt{5}} \times \frac{(\sqrt{2} - \sqrt{5})}{(\sqrt{2} - \sqrt{5})}\)

= \(\frac{\sqrt{2} - \sqrt{5}}{2 - 5}\)

= \(\frac{\sqrt{2} - \sqrt{5}}{-3}\)

= \(\frac{1}{3} (\sqrt{5} - \sqrt{2})\)

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