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8th Class Mathematics Cubes and Cube Roots Question Bank Cubes and Cube Roots

  • question_answer
    Find the value of \[\sqrt[3]{\frac{-192}{81}}.\]

    A)  \[-\frac{5}{3}\]                                

    B)                         \[\frac{-4}{3}\]                

    C)                         \[\frac{3}{2}\]                                  

    D)                         \[\frac{13}{9}\]

    Correct Answer: B

    Solution :

    \[\sqrt[3]{\frac{-192}{81}}\] \[=\sqrt[3]{\frac{(-2)\times (-2)\times (-2)\times 2\times 2\times 2\times \cancel{3}}{3\times 3\times 3\times \cancel{3}}}\] \[=\frac{-2\times 2}{3}=\frac{-4}{3}\]


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