A) \[\frac{1}{2}\]
B) \[\sqrt{2}\]
C) 2
D) None of these
Correct Answer: C
Solution :
Given, \[x=3+2\sqrt{2}={{(\sqrt{2}+1)}^{2}}\] \[\Rightarrow \] \[{{x}^{1/2}}=\sqrt{2}+1\] \[\therefore \] \[{{x}^{-1/2}}=\frac{1}{\sqrt{2}+1}=\sqrt{2}-1\] Hence, \[{{x}^{1/2}}-{{x}^{-1/2}}=\sqrt{2}+1-\sqrt{2}+1=2\]You need to login to perform this action.
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