SSC Sample Paper SSC CGL - Sample Paper-11

  • question_answer
    The value of \[\sqrt{5+2\sqrt{6}}-\frac{1}{\sqrt{5+2\sqrt{6}}}\] is

    A) \[2\sqrt{2}\]      

    B) \[2\sqrt{3}\]

    C) \[1+\sqrt{5}\]               

    D) \[\sqrt{5}-1\]

    Correct Answer: A

    Solution :

    \[?=\sqrt{5+2\sqrt{6}}-\frac{1}{\sqrt{5+2\sqrt{6}}}\] \[?=\frac{{{(\sqrt{5+2\sqrt{6}})}^{2}}-1}{\sqrt{5+2\sqrt{6}}}=\frac{5+2\sqrt{6}-1}{\sqrt{5+2\sqrt{6}}}=\frac{4+2\sqrt{6}}{\sqrt{5+2\sqrt{6}}}=2\sqrt{2}\]       


You need to login to perform this action.
You will be redirected in 3 sec spinner