SOLUTION: Simplify the following and rationalize where needed {{{ (sqrt(3)-5)/(1+5sqrt(3))}}}

Algebra ->  Radicals -> SOLUTION: Simplify the following and rationalize where needed {{{ (sqrt(3)-5)/(1+5sqrt(3))}}}      Log On


   

Question 1092576: Simplify the following and rationalize where needed
+%28sqrt%283%29-5%29%2F%281%2B5sqrt%283%29%29
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+%28sqrt%283%29-5%29%2F%281%2B5sqrt%283%29%29+
Multiply top and bottom by +1+-+5%2Asqrt%283%29+

+%28+%28+-5+%2B+sqrt%283%29+%29%2A%28+1+-+5%2Asqrt%283%29+%29+%29+%2F+%28+1+-+75+%29+
+%28+-5+%2B+sqrt%283%29+%2B+25%2Asqrt%283%29+-+15+%29+%2F+%28+-74+%29+
+%28+-20+%2B+26%2Asqrt%283%29+%29+%2F+%28-74%29+
+10%2F37+-+%28+13%2Asqrt%283%29+%29%2F37+%29+
Definitely get a 2nd opinion on this!!