2. Sample Papers
  3. SSC

SSC Sample Paper SSC CGL - Sample Paper-25

  • question_answer
    The value of \[\sqrt{2+\sqrt{2+\sqrt{2+....}}}\] is

    A) 2         

    B) \[\sqrt{2}\]     

    C) \[2\sqrt{2}\]                  

    D) \[2+\sqrt{2}\]

    Correct Answer: A

    Solution :

    Let        \[x=\sqrt{2+\sqrt{2+...\infty }}\] \[\Rightarrow \]   \[{{x}^{2}}=2+x\] \[\Rightarrow \]   \[{{x}^{2}}-x-2=0\] \[\Rightarrow \]   \[(x+1)(x-2)=0\] \[\Rightarrow \]   \[x=2\]             \[(\because \,\,x\ne -1)\]              


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