Question

if x=3+√3 find x^2+1/x​

Answer 1

Answer:

(35√3+75)/6

Step-by-step explanation:

1/x=1/(3+√3)=(3-√3)/6

x^2=(3+√3)^2=9+3+6√3=12+6√3

so,

x^2+1/x=(3-√3+72+36√3)/6=(35√3+75)/6 (ans)