Question

if x=5+square3 find x+1/x

Answer 1

x=5+3square
x=5+9
x=14
then,
x+1/c
14+1/14
197/14 ans..

Answer 2

x =  5 + √3

1 / x  =  1/ (5 + √3)    =  (5 - √3) / [(5 - √3) (5 + √3) ]
         =  (5 - √3) / (25 - 3)
         = (5/22)  -  (1/22) √3

so  x + 1/x  =  115/22  + (21/22) √3