# SOLUTION: Rationalize the denominator. (x^1/2-y^1/2)/(x^1/2+y^1/2)

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: Rationalize the denominator. (x^1/2-y^1/2)/(x^1/2+y^1/2)      Log On

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 Click here to see ALL problems on Rational-functions Question 392872: Rationalize the denominator. (x^1/2-y^1/2)/(x^1/2+y^1/2)Found 2 solutions by stanbon, MathLover1:Answer by stanbon(57967)   (Show Source): You can put this solution on YOUR website!Rationalize the denominator. (x^1/2-y^1/2)/(x^1/2+y^1/2) ------ [sqrt(x)-sqrt(y)]^2/{[sqrt(x)+sqrt(y)]} ---- = [sqrt(x)-sqrt(y)]^2/[x-y] ======================= cheers, Stan H. Answer by MathLover1(6812)   (Show Source): You can put this solution on YOUR website! Multiply by the fraction by . Note is the conjugate of . Combine the fractions Foil the denominator Cancel like terms Multiply Foil the numerator Multiply Answer: So simplifies to Rule : If you have two positive numbers and , then