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Railways R.R.C. (Patna) Solved Paper Held on 1st Shift 16-11-2014

  • question_answer
    \[If\,\,x=7-4\sqrt{3,}\] Then the value of \[\left( x+\frac{1}{x} \right)\,is\_\_\]

    A) \[3\sqrt{3}\]                  

    B) \[8\sqrt{3}\]

    C) \[14+8\sqrt{3}\]            

    D) 14

    Correct Answer: D

    Solution :

    \[x+\frac{1}{x}=7-4\sqrt{3}+\frac{1}{7-4\sqrt{3}}\] \[=7-4\sqrt{3}+\frac{7+4\sqrt{3}}{49-48}\] \[=7-4\sqrt{3}+7+4\sqrt{3}=14\]


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