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SSC Sample Paper SSC (Group-C) Sample Test Paper-10

  • question_answer
    Find the value of\[\sqrt{10+\sqrt{25+\sqrt{108+\sqrt{154+\sqrt{225}}}}}\].

    A)  6                                

    B)  10

    C)  8                    

    D)       4

    Correct Answer: D

    Solution :

    Expression
    \[=\sqrt{10+\sqrt{25+\sqrt{108+\sqrt{154+15}}}}\]
    \[=\sqrt{10+\sqrt{25+\sqrt{108+\sqrt{169}}}}\]
    \[=\sqrt{10+\sqrt{25+\sqrt{108+13}}}\]
    \[=\sqrt{10+\sqrt{25+\sqrt{121}}}\]
    \[=\sqrt{10+\sqrt{25+11}}\]
    \[=\sqrt{10+6}=\sqrt{16}=4\]


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