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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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