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SSC Sample Paper SSC CGL - Sample Paper-14

  • question_answer
    By how much does \[(\sqrt{12}+\sqrt{18})\] exceed \[(2\sqrt{3}+2\sqrt{2})?\]

    A) 2                                 

    B) \[\sqrt{3}\]

    C) \[\sqrt{2}\]                    

    D) 3

    Correct Answer: C

    Solution :

    \[\sqrt{12}+\sqrt{18}\] \[=\sqrt{3\times 2\times 2}+\sqrt{2\times 3\times 3}\] \[=2\sqrt{3}+3\sqrt{2}\] \[\therefore \] Required difference             \[=2\sqrt{3}+3\sqrt{2}-2\sqrt{3}-2\sqrt{2}=\sqrt{2}\]      


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