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8th Class Mathematics Algebraic Expressions Question Bank Algebra

  • question_answer
    If \[\left( x-3\sqrt{3} \right)\left( \sqrt{3}x-2 \right)\], find the value of \[\left( x+3\sqrt{3} \right)\left( \sqrt{3}x-2 \right)\].

    A) 644                             

    B) 512

    C) 488           

    D) 348

    Correct Answer: C

    Solution :

    \[a+b+c\] \[3(a+b+c)\] \[2(abc)\] \[x=\frac{\sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}}\] \[{{x}^{3}}+\frac{1}{{{x}^{3}}}\] we have, \[{{\left( x+\frac{1}{x} \right)}^{3}}={{x}^{3}}+\frac{1}{{{x}^{3}}}+3\left( x+\frac{1}{x} \right)\] \[\left( -\frac{3}{4},2 \right)\] \[(2,2)\]            


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