Question

Pls say the Answers with steps

Answer 1

$x + \frac{1}{x} = 2 + \sqrt{3} + \frac{1}{2 + \sqrt{3} }$

Rationalising

$= 2 + \sqrt{3} + 2 - \sqrt{3}$



eliminate the opposite

= 4

Answer 2

we know that x=2+root3,so,you rationalise
1 by 2+root3.then the answer will come 2-root3
after doing this add 2+root3 and 2-root3.
your answer will come 4. I hope you understand this.
THANK YOU!!