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9th Class Mathematics Number System and its Operations Question Bank Number System

  • question_answer
    If \[x+\sqrt{7}=7+\sqrt{y},x+\sqrt{7}=7+\sqrt{y}\], and x, y are positive integers, then the value of \[\frac{\sqrt{x}+y}{x+\sqrt{y}}\]is.

    A)  0                    

    B)  2             

    C)  \[\frac{1}{2}\]                         

    D)  1

    Correct Answer: D

    Solution :

    (d): \[x+\sqrt{7}=7+\sqrt{y}\] \[\Rightarrow x=7\,\,\,\,\,y=7;\,\,\,\,\therefore \frac{\sqrt{x}+y}{x+\sqrt{y}}=\frac{\sqrt{7}+7}{7+\sqrt{7}}=1\]


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