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Evaluate: [(√3+1)/(√3−1)]2+[(√3−1)/(√3+1)]2 [(√3+1)/(√3-1)]^2+[(√3-1)/(√3+1)]^2[(√3+1)/(√3−1)]2+[(√3−1)/(√3+1)]2​​
Question

Evaluate: [(3+1)/(31)]2+[(31)/(3+1)]2 [(√3+1)/(√3-1)]^2+[(√3-1)/(√3+1)]^2​​

A.

12

B.

16

C.

14

D.

24

Correct option is C

​​To simply we will rationalize the Denominator
For the first fraction :
For the second Fraction:
Now square the expression and add them by adding we get
Expanding:
Combing and adding them we get 14 ​​

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