Answer:
14
Step-by-step explanation:
x=7+4√3
x+1/x=(x^2+1)/x
= ((7+4√3)^2+1)/(7+4√3)
=(49+56√3+16*3+1)(7-4√3)/(7+4√3)(7-4√3)
= (98+56√3)(7-4√3)/(49-16*3)
=(686-392√3+392√3-224*3)/1
=686-672
=14
