Question

if x =1/2+√3. then what will be x+1/x​

Answer 1

Answer:

4

Step-by-step explanation:

$x =\frac{1}{2+\sqrt3}$

$so, \ \frac{1}{x} = 2+\sqrt3$

$now, \ x =\frac{1}{2+\sqrt3} =\frac{2-\sqrt3}{(2+\sqrt3)(2-\sqrt3)}= \frac{2-\sqrt3}{2^2-(\sqrt3)^2}=\frac{2-\sqrt3}{4-3} = 2-\sqrt3$

$x+\frac{1}{x} = 2-\sqrt{3}+ 2 +\sqrt{3} = 4$