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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

`0`

D

`5`

Text Solution

Verified by Experts

The correct Answer is:
D
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