SOLUTION: Please help me with this question! Thanks! Express this fraction with a rational denominator. {{{ (1)/(sqrt( 5 ) + sqrt( 3 ) + sqrt( 2 )) }}} Thank you so much! I thin

Algebra ->  Square-cubic-other-roots -> SOLUTION: Please help me with this question! Thanks! Express this fraction with a rational denominator. {{{ (1)/(sqrt( 5 ) + sqrt( 3 ) + sqrt( 2 )) }}} Thank you so much! I thin      Log On


   

Question 1072787: Please help me with this question! Thanks!
Express this fraction with a rational denominator.
+%281%29%2F%28sqrt%28+5+%29+%2B+sqrt%28+3+%29+%2B+sqrt%28+2+%29%29+
Thank you so much!
I think I did my working out wrong, as I ended up with 1/0 as my answer? So any guidance as to the right way to answer this would be greatly appreciated!
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
(1)
Multiply numerator and denominator by sqrt%285%29-%28sqrt%283%29%2Bsqrt%282%29%29.
Simplify.

(2)
Multiply numerator and denominator by sqrt%286%29.
Simplify.

%283sqrt%282%29%2B2sqrt%283%29-sqrt%2830%29%29%2F12