Question 1199170
<pre>
Instead of doing it for you, 

here's one that's exactly like yours step-by-step:

{{{13/(11-sqrt(5))-7/(11+sqrt(5))}}}

{{{(13(11+sqrt(5))-7(11-sqrt(5)))/((11-sqrt(5))(11+sqrt(5)))}}}

{{{(143+13sqrt(5)-77+7sqrt(5))/(121-5)}}}

{{{(66+20sqrt(5))/116}}}

{{{(2(33+10sqrt(5)))/116}}}

{{{(33+10sqrt(5))/58}}}

{{{33/58+expr(10/58)sqrt(5)}}}

{{{33/58+expr(5/29)sqrt(5)}}}

That is in the form {{{a+b*sqrt(c)}}} where {{{a=33/58}}}, {{{b=5/29}}}, {{{c=5}}}

Edwin</pre>