Question 13957
we will muliply {{{3/(5-sqrt(2))}}} by 1, thus leaving it unchanged. However my "1" will be written strangly, as shown:


{{{(3/(5-sqrt(2)))*((5+sqrt(2))/(5+sqrt(2)))}}}
{{{(3(5+sqrt(2)))/((5-sqrt(2))*(5+sqrt(2)))}}}


multiply out both numerator and denominator, to give, eventually


{{{(15+3sqrt(2))/(25-2)}}} --> you should be able to go from the previous line to this one straight away, given enough practice.


We end up with:
{{{(15+3sqrt(2))/23}}}


jon.