Question 397611
Btw, these do not involve complex numbers so I have changed the subject. However, some of these techniques can be used to simplify complex number expressions.


Multiply both sides by the conjugate of the denominator, i.e. {{{3sqrt(2) + 1}}} to produce


{{{((3sqrt(3) - 1)/(3sqrt(2) - 1))((3sqrt(2) + 1)/(3sqrt(2) + 1))}}}


A consequence of the difference of two squares theorem, this ensures the denominator will be an integer.