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Railways Quantitative Aptitude Basic Calculations Sample Paper Square Roots & Cube Roots Sample Test Paper-5

  • question_answer
    Value of \[\sqrt[3]{392}\times \sqrt[3]{448}\] is

    A)  50                   

    B)  52       

    C)  54                   

    D)  56

    Correct Answer: D

    Solution :

    [d] \[\sqrt[3]{392}\times \sqrt[3]{448}=\sqrt[3]{2\times 2\times 2\times 7\times 7}\] \[\times \,\,\sqrt[3]{2\times 2\times 2\times 2\times 2\times 2\times 7}\] \[=\sqrt[3]{(2\times 2\times 2)\times (2\times 2\times 2)\times (2\times 2\times 2)\times (7\times 7\times 7)}\]             \[=2\times 2\times 2\times 7\]                   \[\left[ \because \,\,\,\sqrt[3]{p}\times \sqrt[3]{q}=\sqrt[3]{pq} \right]\]             = 56


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