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SSC Sample Paper SSC CGL - Sample Paper-27

  • question_answer
    If \[\sqrt{4096}=64,\] then the  value of \[\sqrt{40.96}=\sqrt{0.4096}+\sqrt{0.004.96}+\sqrt{0.00004096}\]two decimal is

    A) 7.09                             

    B) 7.10

    C) 7.11                 

    D) 7.12

    Correct Answer: C

    Solution :

    \[\sqrt{4096}=64\] Now, \[\sqrt{40.96}=\sqrt{0.4096}+\sqrt{0.004096}\]             \[=\sqrt{0.00004096}\] \[=\sqrt{\frac{4096}{100}}+\sqrt{\frac{4096}{10000}}+\sqrt{\frac{4096}{1000000}}+\sqrt{\frac{4096}{100000000}}\] \[=\frac{64}{10}+\frac{64}{100}+\frac{64}{1000}+\frac{64}{10000}\] \[=6.4+0.64+0.064+0.0064\] \[=7.1104=7.11\](approx.)         


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