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    What is the value of the following expression?​7−37+3+7+37−3+3+13−1+3−13+1\frac{\sqrt{7} - \sqrt{3}}{\sqrt{7} + \sqrt{3}} + \frac{\sqrt{7} + \sqrt{3}}
    Question

    What is the value of the following expression?

    737+3+7+373+3+131+313+1\frac{\sqrt{7} - \sqrt{3}}{\sqrt{7} + \sqrt{3}} + \frac{\sqrt{7} + \sqrt{3}}{\sqrt{7} - \sqrt{3}} + \frac{\sqrt{3} + 1}{\sqrt{3} - 1} + \frac{\sqrt{3} - 1}{\sqrt{3} + 1}​​

    A.

    1

    B.

    9

    C.

    12\frac{1}{2}​​

    D.

    0

    Correct option is B

    Given:

    737+3+7+373+3+131+313+1\frac{\sqrt{7} - \sqrt{3}}{\sqrt{7} + \sqrt{3}} + \frac{\sqrt{7} + \sqrt{3}}{\sqrt{7} - \sqrt{3}} + \frac{\sqrt{3} + 1}{\sqrt{3} - 1} + \frac{\sqrt{3} - 1}{\sqrt{3} + 1} 

    Formula used:

    (A+B)2=A2+B2+2AB(AB)2=A2+B22AB(A+B)(AB)=A2B2\begin{aligned}& (A+B)^2=A^2+B^2+2 A B \\& (A-B)^2=A^2+B^2-2 A B \\& (A+B)(A-B)=A^2-B^2\end{aligned} 

    Solution:

    ​  

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