SOLUTION: Radical expression sqrt(x)/3sqrt(x)-sqrt(y) is equivalent to: 3x-sqrt(xy)/9x+y 3x-sqrt(xy)/3x+y 3x+sqrt(xy)/9x-y 3x+sqrt(xy)/3x-y x/3x-y

Algebra ->  Radicals -> SOLUTION: Radical expression sqrt(x)/3sqrt(x)-sqrt(y) is equivalent to: 3x-sqrt(xy)/9x+y 3x-sqrt(xy)/3x+y 3x+sqrt(xy)/9x-y 3x+sqrt(xy)/3x-y x/3x-y      Log On


   

Question 233548: Radical expression sqrt(x)/3sqrt(x)-sqrt(y) is equivalent to:

3x-sqrt(xy)/9x+y
3x-sqrt(xy)/3x+y
3x+sqrt(xy)/9x-y
3x+sqrt(xy)/3x-y
x/3x-y
Found 2 solutions by rapaljer, edjones:
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x%29%2F%283sqrt%28x%29-sqrt%28y%29%29

You have to multiply numerator and denominator by the conjugate of the denominator, which is 3%2Asqrt%28x%29%2Bsqrt%28y%29.

%28sqrt%28x%29%2F%283sqrt%28x%29-sqrt%28y%29%29%29*%283sqrt%28x%29%2Bsqrt%28y%29%29%2F%283sqrt%28x%29%2Bsqrt%28y%29%29+%29
%283x%2Bsqrt%28xy%29%29%2F%289x+-y%29

Dr. Robert J. Rapalje

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt(x)/3sqrt(x)-sqrt(y)
We don't want radicals in the denominator.
.

=%283x%2Bsqrt%28xy%29%29%2F%289x-y%29
.
Ed