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

  • question_answer
    If\[\sqrt{5}=2.236\]and\[\sqrt{3}=1.732\], find the value of\[\frac{1}{\sqrt{5}-\sqrt{3}}\].

    A) \[3.968\]           

    B)        \[\frac{1}{3.968}\]        

    C) \[1.984\]           

    D)        \[\sqrt{0.504}\]  

    Correct Answer: C

    Solution :

    \[\frac{1}{\sqrt{5}-\sqrt{3}}=\frac{1}{\sqrt{5}-\sqrt{3}}\times \frac{\sqrt{5}+\sqrt{3}}{\sqrt{5}+\sqrt{3}}\] \[=\frac{\sqrt{5}+\sqrt{3}}{2}=\frac{3.968}{2}=1.984\]


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