JEE Main & Advanced Mathematics Complex Numbers and Quadratic Equations Question Bank Integral power of iota, Algebraic operations and Equality of complex numbers

  • question_answer
    \[\sqrt{-2}\,\sqrt{-3}=\] [Roorkee 1978]

    A) \[\sqrt{6}\]

    B) \[-\sqrt{6}\]

    C) \[i\sqrt{6}\]

    D) None of these

    Correct Answer: B

    Solution :

    \[\sqrt{-2}\sqrt{-3}=i\sqrt{2}\,i\,\sqrt{3}={{i}^{2}}\sqrt{6}=-\sqrt{6}\]


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