Question 155013
{{{x = ((3-2sqrt(2))/(3+2sqrt(2)))}}}
then
{{{x + (1/x) =(3-2sqrt(2))/(3+2sqrt(2))+(3+2sqrt(2))/(3-2sqrt(2))}}}
= {{{((3-2sqrt(2))(3-2sqrt(2))+(3+2sqrt(2))(3+2sqrt(2)))/(3+2sqrt(2))(3-2sqrt(2))}}}
=
{{{   ((3-2sqrt(2))^2+(3+2sqrt(2))^2)   /((3)^2-(2sqrt(2))^2)}}}
=
{{{   (3^2-12sqrt(2)+8+3^2+12sqrt(2)+8)   /((3)^2-8)}}}
=34