SOLUTION: simplify {{{ 5/ ((3) sqrt(5) + sqrt (3))) }}}

Algebra ->  Radicals -> SOLUTION: simplify {{{ 5/ ((3) sqrt(5) + sqrt (3))) }}}      Log On


   

Question 592837: simplify +5%2F+%28%283%29+sqrt%285%29+%2B+sqrt+%283%29%29%29+
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
5/ (3) sqrt(5) + sqrt (3)
5/(3√5+√3)
multiply top and bottom by the conjugate of the denominator=(3√5-√3)
5(3√5-√3)/(3√5+√3)(3√5-√3)
(15√5-5√3)/(45-3)
(15√5-5√3)/(42)