Railways R.R.C. (Mumbai) Solved Paper Held on 2-11-2014 - I

  • question_answer
    Divide \[12\times {{4}^{\frac{1}{3}}}by\,\,3\sqrt{2}\_\_\]

    A) \[4\sqrt{2}\]                  

    B) \[4\sqrt[6]{2}\]

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

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

    Correct Answer: B

    Solution :

    \[\frac{12\times {{4}^{\frac{1}{3}}}}{3\sqrt{2}}=\frac{4\times {{2}^{\frac{2}{3}}}}{{{2}^{\frac{1}{2}}}}\]                    \[=4\times {{2}^{\frac{2}{3}-\frac{1}{2}}}\]                           \[=4\sqrt[6]{2}\]


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