Question 934870
<pre>
{{{x}}}{{{""=""}}}{{{(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2))}}}, {{{y=1}}}

Rationalize the denominator:

{{{x}}}{{{""=""}}}{{{(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2))}}}{{{""*""}}}{{{(sqrt(3)+sqrt(2))/(sqrt(3)+sqrt(2))}}} {{{""=""}}} {{{(3+2sqrt(6)+2)/(3-2)}}} {{{""=""}}} {{{(5+2sqrt(6))/1}}} {{{""=""}}} {{{5+2sqrt(6)}}}

{{{(x-y)/(x-3y)}}}{{{""=""}}}{{{((5+2sqrt(6))-1)/((5+2sqrt(6))-3(1))}}}{{{""=""}}}{{{(5+2sqrt(6)-1)/(5+2sqrt(6)-3)}}}{{{""=""}}}{{{(4+2sqrt(6))/(2+2sqrt(6))}}}{{{""=""}}}{{{(2(2+sqrt(6)))/(2(1+sqrt(6)))}}}{{{""=""}}}
{{{(cross(2)(2+sqrt(6)))/(cross(2)(1+sqrt(6)))}}}{{{""=""}}}{{{(2+sqrt(6))/(1+sqrt(6))}}}

Rationalize the denominator:

{{{(2+sqrt(6))/(1+sqrt(6))}}}{{{""*""}}}{{{(1-sqrt(6))/(1-sqrt(6))}}} {{{""=""}}} {{{(2-sqrt(6)-6)/(1-6)}}}{{{"=""}}}{{{(-4-sqrt(6))/(-5)}}}{{{""=""}}}

Multiply top and bottom by -1

{{{(4+sqrt(6))/5}}}

Edwin</pre>