Question

If x=2+√3,then (x+1/x) equals to?

Answer 1

Answer:

         4

Step-by-step explanation:

$\displaystyle x=2+\sqrt3\\\\\Rightarrow \frac1x = \frac1{2+\sqrt3}=\frac{2-\sqrt3}{(2+\sqrt3)(2-\sqrt3)}=\frac{2-\sqrt3}{4-3}=2-\sqrt3$

So...

x + 1/x  =  (2 + √3) + (2 - √3)  =  4