If == x+y, then

5 - √3/ 2+√3 = x + y√3

= ( 5-√3) / (2+ √3) × (2 -√3) / (2 -√3)

= (10 – 5√3 – 2√3 +3)/ (4-3)

= 10 – 7√3 +3

= 13 – 7√3 = x + y√3

So , x= 13 , y = -7