Question

If $x=\left(7-4\sqrt{3}\right)$, then the value of $\left(x+\frac{1}{x}\right)$is :

• A. 3(3) ^(1/2)
• B. 8 (3) ^(1/2)
• C. 14
• D. 14 + 8(3) ^(1/2)
• E. 1

Answer 1

The correct option is C

14

$x=\left(7-4\sqrt{3}\right)$ (1/x) = $x=\left(7+4\sqrt{3}\right)$ Adding we get 14