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

  • question_answer
    Find the value of\[{{\left( \sqrt[6]{27}-\sqrt{6\frac{3}{4}} \right)}^{2}}\]

    A) \[\frac{\sqrt{3}}{2}\]                 

    B)        \[\frac{3}{2}\]  

    C) \[\frac{\sqrt{3}}{4}\]                 

    D)        \[\frac{3}{4}\]              

    Correct Answer: D

    Solution :

    \[{{\left( \sqrt[6]{27}-\sqrt{6\frac{3}{4}} \right)}^{2}}={{\frac{\left( {{3}^{\frac{1}{2}}} \right)}{4}}^{2}}{{[2-3]}^{2}}=\frac{3}{4}\]


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