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SSC Sample Paper Mock Test-8 SSC CGL Tear-II Paper-1

  • question_answer
    Given \[\sqrt{2}=1.414.\] The     value     of \[\sqrt{8}+2\sqrt{32}-3\sqrt{128}+4\sqrt{50}\] is

    A) 8.484

    B)  8.526

    C)  8.426

    D)  8.876

    Correct Answer: A

    Solution :

    \[\sqrt{8}+2\sqrt{32}-3\sqrt{128}+4\sqrt{50}\] \[=2\sqrt{2}+8\sqrt{2}-3\times 8\sqrt{2}+4\times 5\sqrt{2}\] \[=2\sqrt{2}+8\sqrt{2}-24\sqrt{2}+20\sqrt{2}\] \[=(2+8-24+20)\sqrt{2}\] \[=6\sqrt{2}=6\times 1.414=8.484\]


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