Question 971139
{{{(12*sqrt(60)-14*sqrt(21))/(2*sqrt(3))}}}


1)  The numerator can have {{{2*sqrt(3)}}} extracted from it.  This will give us:


{{{2*sqrt(3)*(6*sqrt(20)-7*sqrt(7)))/(2*sqrt(3)}}} in the numerator.


2)  The {{{2*sqrt(3)}}} in the numerator will cancel out the {{{2*sqrt(3)}}} in the denominator.  This will give us:


{{{6*sqrt(20)-7*sqrt(7)}}}


3)  {{{6*sqrt(20)}}} can be further reduced:


{{{6*sqrt(4*5)}}} -----> {{{6*2*sqrt(5)}}} -----> {{{12*sqrt(5)}}}


4.  {{{7*sqrt(7)}}} cannot be reduced any further.  Therefore, our final answer is:


{{{12*sqrt(5)-7*sqrt(7)}}}