Question 1084058
{{{((3+sqrt(2))/(3-sqrt(2))) = a + b*sqrt(2)}}}
Multiply top and bottom by {{{3+sqrt(2)}}}:
{{{( (3+sqrt(2))*(3+sqrt(2)) )/( (3-sqrt(2))*(3+sqrt(2)) ) = (3+6*sqrt(2)+2)/(3-2) = 5+6*sqrt(2)}}}
Thus a = 5, b = 6