If ` x = (7

Question

If ` x = (7 - 4sqrt(3))`, then the value of `(x + 1/x)` is :

Options:

A . `3sqrt(3)`

B . `8sqrt(3)`

C . 14

D . `14 + 8sqrt(3)`

Answer: Option C

`x + 1/x` = `(7 - 4sqrt(3)) + (1)/((7 - 4sqrt(3))) xx ((7 + 4sqrt(3)))/((7 + 4sqrt(3)))`

=` (7 - 4sqrt(3)) + ((7 + 4sqrt(3)))/((49 - 48))`

=`(7 - 4sqrt(3)) + (7 + 4sqrt(3))` = 14

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