Railways R.R.C. (Patna) Solved Paper Held on 2nd Shift 9-11-2014

  • question_answer
    The value of\[\sqrt{5+\sqrt{11+\sqrt{19+\sqrt{29+\sqrt{49}}}}}\] is__

    A) 9                                 

    B) 5

    C) 7                                 

    D) 3

    Correct Answer: D

    Solution :

    \[\sqrt{5+\sqrt{11+\sqrt{19+\sqrt{29+\sqrt{49}}}}}\] \[=\sqrt{5+\sqrt{11+\sqrt{19+\sqrt{29+7}}}}\] \[=\sqrt{5+\sqrt{11+\sqrt{19+\sqrt{36}}}}\] \[=\sqrt{5+\sqrt{11+\sqrt{25}}}\] \[=\sqrt{5+\sqrt{11+5}}\] \[=\sqrt{5+\sqrt{16}}\] \[=\sqrt{5+4}=\sqrt{9}=3\]


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