Question

if x=√(7+4√3) then x+1/x=?

Answer 1

7+4√3=4+3+4√3=2^2+√3^2+2*2*√3=(2+√3)^2
=>√(7+4√3)=2+√3
x+1/x=(x^2+1)/x
=(7+4√3+1)/(2+√3)
=(8+4√3)/(2+√3)
=4(2+√3)/2+√3
=4