If alpha(1), alpha(2), alpha(3), alpha(4...

If `alpha_(1), alpha_(2), alpha_(3), alpha_(4)` are the roots of the equation `x^(4)+(2-sqrt(3))x^(2)+2+sqrt(3)=0`, then the value of `(1-alpha_(1))(1-alpha_(2))(1-alpha_(3))(1-alpha_(4))` is :

A

1

B

4

C

`2+sqrt(3)`

D

5

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The correct Answer is:

D

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