What is the value of \left ( 28+10\sqrt{3} \right )^{1/2}-\left ( 7+4\sqrt{3} \right )^{1/2}?

  • Option 1)

    3

  • Option 2)

    4

  • Option 3)

    7

  • Option 4)

    None of these

  • Option 5)

    5

Answers (1)

 \left ( 28+10\sqrt{3} \right )^{1/2}-\left ( 7+4\sqrt{3} \right )^{1/2}

\left ( \left ( 5+\sqrt{3} \right )^{2} \right )^{1/2}-\left ( \left ( 2+\sqrt{3} \right )^{2} \right )^{1/2}

5+\sqrt{3}-2-\sqrt{3}= 3

 

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