SOLUTION: i think this is the right subject, but i am not sure. if you could help me anyway, that would be awesome. i really hope so, thank you so much. it says rationalize the following...

Algebra ->  Radicals -> SOLUTION: i think this is the right subject, but i am not sure. if you could help me anyway, that would be awesome. i really hope so, thank you so much. it says rationalize the following...       Log On


   

Question 93983: i think this is the right subject, but i am not sure. if you could help me anyway, that would be awesome. i really hope so, thank you so much. it says rationalize the following...
(/x)+2
-------
(/x)-1
(p.s.(/x) means the square root of x) thank you so much!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28sqrt%28x%29%2B2%29%2F%28sqrt%28x%29-1%29 Start with the given expression

Multiply the fraction by %28sqrt%28x%29%2B1%29%2F%28sqrt%28x%29%2B1%29 (which is a form of 1). This will rationalize the denominator.


%28sqrt%28x%29%2B2%29%28sqrt%28x%29%2B1%29%2F%28sqrt%28x%29-1%29%28sqrt%28x%29%2B1%29 Combine the fractions


Foil the numerator and the denominator



Notice the root terms cancel in the denominator. Now the denominator is completely rational.


%28x%2Bsqrt%28x%29%2B2%2Asqrt%28x%29%2B2%29%2F%28x-1%29 Multiply sqrt%28x%29sqrt%28x%29 to get x


%28x%2B3%2Asqrt%28x%29%2B2%29%2F%28x-1%29 Combine like terms