SOLUTION: {{{ 4/ (6-2 (sqrt (6))) }}}

Algebra ->  Radicals -> SOLUTION: {{{ 4/ (6-2 (sqrt (6))) }}}      Log On


   

Question 592831: +4%2F+%286-2+%28sqrt+%286%29%29%29+
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
4/ (6-2 (sqrt (6)
4/(6-2√6)
multiply top and bottom by conjugate of denominator=(6+2√6)
4(6+2√6)/(6-2√6)(6+2√6)
(24+8√6)/(36-24)(difference of squares)
(24+8√6)/12
24/12+8√6/12
2+2√6/3