AFMC AFMC Solved Paper-2002

  • question_answer
    Solve the following problems. The value of\[\sqrt{\frac{4}{3}}-\sqrt{\frac{3}{4}}\]is      :

    A)                  \[0\]                                    

    B)                 \[\frac{1}{2\sqrt{3}}\]

    C)                  \[2\]                                    

    D)                 \[\frac{5\sqrt{3}}{1}\]

    Correct Answer: B

    Solution :

                     \[\therefore \sqrt{\frac{4}{3}}-\sqrt{\frac{3}{4}}=\frac{2}{\sqrt{3}}-\frac{\sqrt{3}}{2}\] \[=\frac{\left( 2\times 2 \right)-\left( \sqrt{3}\times \sqrt{3} \right)}{2\sqrt{3}}\] \[=\frac{4-3}{2\sqrt{3}}=\frac{1}{2\sqrt{3}}\]


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