A) \[\sqrt{2}\]
B) \[2\sqrt{2}\]
C) \[4\sqrt{2}\]
D) \[8\sqrt{2}\]
Correct Answer: B
Solution :
[b] By \[A.M.\ge GM.\] \[{{x}^{4}}+{{y}^{4}}\ge 2{{x}^{2}}{{y}^{2}}\] and \[2{{x}^{2}}{{y}^{2}}+{{z}^{2}}\ge \sqrt{8}\,\,xyz.\] \[\Rightarrow \,\,\,\,\,\,\frac{{{x}^{4}}+{{y}^{4}}+{{z}^{2}}}{xyz}\ge \sqrt{8}\]You need to login to perform this action.
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