<PRE><B>Question 376232</B>
Rationalize the denominator,
{{{(8*sqrt(3)-12*sqrt(6))/(5*sqrt(3)+2*sqrt(6)) =((8*sqrt(3)-12*sqrt(6))/(5*sqrt(3)+2*sqrt(6)))*((5*sqrt(3)-2*sqrt(6))/(5*sqrt(3)-2*sqrt(6)))}}}

{{{(8*sqrt(3)-12*sqrt(6))/(5*sqrt(3)+2*sqrt(6)) =(40*3-16*sqrt(18)-60*sqrt(18)+24*6)/(25*3-10*sqrt(6)+10*sqrt(6)-4*6)}}}

{{{(8*sqrt(3)-12*sqrt(6))/(5*sqrt(3)+2*sqrt(6)) =(120+144-76*sqrt(18))/(75-24)}}}

{{{(8*sqrt(3)-12*sqrt(6))/(5*sqrt(3)+2*sqrt(6)) =(264-76*sqrt(18))/(51)}}}

{{{highlight((8*sqrt(3)-12*sqrt(6))/(5*sqrt(3)+2*sqrt(6)) =(264-228*sqrt(2))/(51))}}}
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