Question 1199170: Simplify and rationalize the expression giving your answer in the forma+b√c, where a, b and c are constants
11/(7-√3)-5/(7+√3)
Found 2 solutions by ankor@dixie-net.com, Edwin McCravy:Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website! Simplify and rationalize the expression giving your answer in the forma+b√c, where a, b and c are constants
11/(7-√3)-5/(7+√3)
Assume it is: -
find the common denominator; FOIL (7-sqrt(3))*(7+sqrt(3))
middle terms cancel so we have 49-3 = 46 is the common denominator
so we have =
combine like terms, reduce the fraction = Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!
Instead of doing it for you,
here's one that's exactly like yours step-by-step:
That is in the form where , ,
Edwin