SOLUTION: Rationalize the denominator. Assume that all expressions under radicals represent positive numbers. SQRT of x - SQRT of y / SQRT of x + SQRT of y Simplify and use radicals a

Algebra ->  Algebra  -> Quadratic Equations and Parabolas -> SOLUTION: Rationalize the denominator. Assume that all expressions under radicals represent positive numbers. SQRT of x - SQRT of y / SQRT of x + SQRT of y Simplify and use radicals a      Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 323184: Rationalize the denominator. Assume that all expressions under radicals represent positive numbers.
SQRT of x - SQRT of y / SQRT of x + SQRT of y
Simplify and use radicals as needed
Answer by QH(50) About Me  (Show Source):
You can put this solution on YOUR website!
To rationalize a denominator you need to remove the radical. When your denominator has more than one term, you multiply the numerator and denominator by the conjugate (opposite) of the denominator. Meaning if your denominator is sqrt%28x%29%2Bsqrt%28y%29 the conjugate would be sqrt%28x%29-sqrt%28y%29
so...

multiply by FOIL both the numerator and denominator

simplify
%28x-2sqrt%28xy%29%2Bx%29%2F%28x-y%29