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Railways Quantitative Aptitude Basic Calculations Sample Paper Square Roots & Cube Roots Sample Test Paper-5

  • question_answer
    The value of \[\sqrt{388+\sqrt{127+\sqrt{289}}}\] is

    A)  17                   

    B)  12

    C)  30                   

    D)  None of these.

    Correct Answer: C

    Solution :

    [c] \[\sqrt{388+\sqrt{127+\sqrt{289}}}\] \[=\sqrt{388+\sqrt{127+17}}\]               \[\left[ \because \sqrt{289}=17 \right]\] \[=\sqrt{388+\sqrt{144}}\]                                 \[\left[ \because \sqrt{144}=12 \right]\] \[\sqrt{388+12}\,=\sqrt{400}\] = 20                                        \[\left[ \because \sqrt{400}=20 \right]\,\]


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