A) \[\sqrt{51}\]
B) \[\sqrt{53}\]
C) \[\sqrt{61}\]
D) \[\sqrt{63}\]
Correct Answer: A
Solution :
\[{{\left( x-\frac{1}{x} \right)}^{2}}={{x}^{2}}+\frac{1}{{{x}^{2}}}-=53-2=51\] \[\Rightarrow x-\frac{1}{x}=\sqrt{51}.\]
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