SSC Sample Paper SSC CGL - Sample Paper-29

  • question_answer
    What is one of the square roots of \[9-2\sqrt{14}?\]

    A) \[\sqrt{7}-\sqrt{3}\]                    

    B) \[\sqrt{6}-\sqrt{3}\]

    C) \[\sqrt{7}-\sqrt{5}\]                    

    D) \[\sqrt{7}-\sqrt{2}\]

    Correct Answer: D

    Solution :

    \[\sqrt{9-2\sqrt{14}}=\sqrt{7+2-2\times \sqrt{7}\times \sqrt{2}}\] \[=\sqrt{{{(\sqrt{7}-\sqrt{2})}^{2}}}\] \[=\sqrt{7}-\sqrt{2}\]


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