A) \[\sqrt{5}-\sqrt{4}\]
B) \[\sqrt{5}+\sqrt{4}\]
C) \[\frac{\sqrt{5}+\sqrt{4}}{9}\]
D) \[\sqrt{4}-\sqrt{5}\]
Correct Answer: B
Solution :
\[\frac{1}{\sqrt{5}-2}\times \frac{\sqrt{5}+2}{\sqrt{5}+2}\] \[=\frac{\sqrt{5}+2}{{{\left( \sqrt{5} \right)}^{2}}-{{(2)}^{2}}}=\sqrt{5}+2\]or \[=\sqrt{5}+\sqrt{4}\]
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