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

  • question_answer
    What is the rationalizing factor of\[\left( 2\sqrt[3]{5} \right)\]?

    A) \[\sqrt[3]{5}\]                            

    B) \[\sqrt[3]{{{5}^{2}}}\] 

    C) \[{{5}^{2}}\]              

    D)        \[{{5}^{3}}\]              

    Correct Answer: B

    Solution :

    Rationalizing factor of \[\sqrt[n]{{{a}^{p}}}\]is \[\sqrt[n]{{{a}^{n-p}}}\]or \[{{a}^{1-\frac{p}{n}}}\]where \[n>p.\] Rationalizing factor or \[{{5}^{\frac{1}{3}}}=\sqrt[3]{{{5}^{2}}}\]


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