SOLUTION: Rationalize the denominator assuming all radicals represent positive numbers. sqrt(c)-sqrt(d) over sqrt(c)+sqrt(d)

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Question 281641: Rationalize the denominator assuming all radicals represent positive numbers.
sqrt(c)-sqrt(d)
over
sqrt(c)+sqrt(d)

Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!




Put parentheses around the numerator and denominator



Form the conjugate of the denominator. that is,
change the sign of the second term of ,
making it 

Now multiply top and bottom of



by the conjugate 




Use FOIL on the top and the bottom:







Combine the middle two terms on top as 



Change the  to just  and  to just 



Edwin

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