SSC Sample Paper Mock Test-17 SSC CGL Tear-II Paper-1

  • question_answer
    \[[\sqrt[3]{2}\times \sqrt{2}\times \sqrt[3]{3}\times \sqrt{3}]\]is equal to

    A)  \[{{6}^{5}}\]

    B)  \[{{6}^{5/6}}\]

    C)  6

    D)  None of these

    Correct Answer: B

    Solution :

    Given expression \[=\sqrt[3]{2}\times \sqrt{2}\times \sqrt[3]{3}\times \sqrt{3}\] \[={{2}^{\frac{1}{3}}}\times {{2}^{\frac{1}{2}}}\times {{3}^{\frac{1}{3}}}\times {{3}^{\frac{1}{2}}}={{2}^{\frac{5}{6}}}\times {{3}^{\frac{5}{6}}}={{(6)}^{\frac{5}{6}}}\]


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