SOLUTION: Hello, I appreciate everyone help these last couple days as I get ready to take a math assessment. I haven't done this stuff in years! I just discovered this site :) wish I had kno

Algebra ->  Exponents -> SOLUTION: Hello, I appreciate everyone help these last couple days as I get ready to take a math assessment. I haven't done this stuff in years! I just discovered this site :) wish I had kno      Log On


   

Question 133631: Hello, I appreciate everyone help these last couple days as I get ready to take a math assessment. I haven't done this stuff in years! I just discovered this site :) wish I had known about it a long time ago lol. Okay here is probably my last question till I get assessed...can someone please explain how to solve this and the rules behind this radical expression. Given: x and y are greater than zero. Here it is the square root of x divided by 3 times the square root of x minus the square root of y. Does that make sense?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x%29%2F%283%28sqrt%28x%29-sqrt%28y%29%29%29 Start with the given expression


%28sqrt%28x%29%2F%283%29%29%2A%281%2F%28sqrt%28x%29-sqrt%28y%29%29%29%29 Break up the expression


Multiply the second fraction by %28sqrt%28x%29%2Bsqrt%28y%29%29%2F%28sqrt%28x%29%2Bsqrt%28y%29%29


Combine the last two fractions


%28sqrt%28x%29%2F%283%29%29%2A%28%28sqrt%28x%29%2Bsqrt%28y%29%29%2F%28x-y%29%29%29 Foil the denominator


sqrt%28x%29%28sqrt%28x%29%2Bsqrt%28y%29%29%2F3%28x-y%29 Multiply the two fractions


%28sqrt%28x%29sqrt%28x%29%2Bsqrt%28x%29sqrt%28y%29%29%2F3%28x-y%29 Distribute


%28x%2Bsqrt%28xy%29%29%2F3%28x-y%29 Multiply and simplify