Question 1132451
<br>
{{{x = 3+sqrt(5)}}}<br>
Calculate 1/x by multiplying numerator and denominator by the conjugate:<br>
{{{1/x = 1/(3+sqrt(5)) = 1(3-sqrt(5))/((3+sqrt(5))(3-sqrt(5))) = (3-sqrt(5))/4}}}<br>
Now perform the addition x+1/x, combining rational and irrational parts....