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7th Class Mathematics Integers Question Bank Number System

  • question_answer
    If m = \[\sqrt{3+\sqrt{3+\sqrt{3+......}}}\] up to \[\infty \] n=\[\sqrt{3-\sqrt{3-\sqrt{3-......}}}\] up to \[\infty \] Then among the following the relation between m and n holds is

    A)  \[m-n+1=0\]   

    B)  \[m+n-1=0\]

    C)  \[m+n+1=0\]              

    D)  \[m-n-1=0\]

    Correct Answer: D

    Solution :

    (d): \[{{m}^{2}}=m+3\] \[{{n}^{2}}=3-n\] Solving for m & n and then Subtracting m & n We get \[m-n=1\] \[\Rightarrow m-n-1=0.\]


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