A) \[2\sqrt{2}\]
B) \[2\sqrt{3}\]
C) \[1+\sqrt{5}\]
D) \[\sqrt{5}-1\]
Correct Answer: A
Solution :
\[?=\sqrt{5+2\sqrt{6}}-\frac{1}{\sqrt{5+2\sqrt{6}}}\] \[?=\frac{{{(\sqrt{5+2\sqrt{6}})}^{2}}-1}{\sqrt{5+2\sqrt{6}}}=\frac{5+2\sqrt{6}-1}{\sqrt{5+2\sqrt{6}}}=\frac{4+2\sqrt{6}}{\sqrt{5+2\sqrt{6}}}=2\sqrt{2}\]You need to login to perform this action.
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