SOLUTION: Simplify the following expression: {{{ (3-sqrt(2))/(2sqrt(3)+5) }}} Thanks!

Algebra ->  Expressions -> SOLUTION: Simplify the following expression: {{{ (3-sqrt(2))/(2sqrt(3)+5) }}} Thanks!      Log On


   

Question 641521: Simplify the following expression:
+%283-sqrt%282%29%29%2F%282sqrt%283%29%2B5%29+
Thanks!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
+%283-sqrt%282%29%29%2F%282sqrt%283%29%2B5%29+
multiply by the conjugate of the denominator over itself, then FOIL
+%283-sqrt%282%29%29%2F%282sqrt%283%29%2B5%29+ * +%282sqrt%283%29-5%29%2F%282sqrt%283%29-5%29+ = %28%286sqrt%283%29-15-2sqrt%286%29%2B5sqrt%282%29%29%29%2F%284%283%29-25%29+ = %28%286sqrt%283%29-15-2sqrt%286%29%2B5sqrt%282%29%29%29%2F%28-13%29