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

  • question_answer
    If \[7\sqrt[4]{162}-5\sqrt[4]{32}+\sqrt[4]{1250}\] is simplified, then the resultant value is

    A)  \[6\sqrt[3]{2}\]                         

    B)  \[6\sqrt[4]{2}\]          

    C)  \[6\sqrt[5]{2}\]                         

    D)  \[16\sqrt[4]{2}\]

    Correct Answer: D

    Solution :

    (d): \[7{{\left( 81\times 2 \right)}^{1/4}}-5{{\left( 16\times 2 \right)}^{1/4}}+{{\left( 625\times 2 \right)}^{1/4}}\] \[\Rightarrow 21{{(2)}^{1/4}}-10{{(2)}^{1/4}}+5{{(2)}^{1/4}}\] \[\Rightarrow {{(2)}^{1/4}}\left( 21-10+5 \right)=16\sqrt[4]{2}\]


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