Question 1199170
 Simplify and rationalize the expression giving your answer in the forma+b√c, where a, b and c are constants
11/(7-√3)-5/(7+√3)
Assume it is:
{{{11/((7-sqrt(3)))}}} - {{{5/((7+sqrt(3)))}}}
find the common denominator; FOIL (7-sqrt(3))*(7+sqrt(3))
middle terms cancel so we have 49-3 = 46 is the common denominator
so we have
{{{(11(7+sqrt(3)) - 5(7-sqrt(3)))/46}}} = {{{(77+ 11sqrt(3) - 35 + 5sqrt(3))/46}}}
combine like terms, reduce the fraction
{{{(42 + 16sqrt(3))/46}}} = {{{(21 + 8sqrt(3))/23}}}