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9th Class Mathematics Number System and its Operations Question Bank Number System

  • question_answer
    If \[x=2-\sqrt{3}\], then the value of \[~{{\mathbf{x}}^{\mathbf{2}}}+\mathbf{4x}+\mathbf{4}\] is.

    A)  \[12+2\sqrt{3}\]                       

    B)  \[19+8\sqrt{3}\]         

    C)  \[12+2\sqrt{3}\]           

    D)  \[19-8\sqrt{3}\]

    Correct Answer: D

    Solution :

    (d): \[{{\left( 2-\sqrt{3} \right)}^{2}}+4\left( 2-\sqrt{3} \right)+4\] \[=4+3-4\sqrt{3}+8-4\sqrt{3}+4=19-8\sqrt{3}\]


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