SOLUTION: Rationalize the denominator. Assume that all expressions are under radicals represent positive numbers. (√r-√s)/(√r+√s) Is the answer 0????

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Rationalize the denominator. Assume that all expressions are under radicals represent positive numbers. (√r-√s)/(√r+√s) Is the answer 0????      Log On


   

Question 387455: Rationalize the denominator. Assume that all expressions are under radicals represent positive numbers.
(√r-√s)/(√r+√s)

Is the answer 0????
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
(√r-√s)/(√r+√s)
=(√r-√s)/(√r+√s) * (sqrt(r)-sqrt(s))/(sqrt(r)-sqrt(s))
=(r-2sqrt(rs)+s)/(r-s)
.
Ed