SOLUTION: rationalize the denominator sqrt(u)-sqrt(v)/sqrt(u)+sqrt(v)

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Question 482653: rationalize the denominator
sqrt(u)-sqrt(v)/sqrt(u)+sqrt(v)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply by the conjugate of the denominator over itself
:
%28sqrt%28u%29-sqrt%28v%29%29%2F%28sqrt%28u%29%2Bsqrt%28v%29%29 * %28sqrt%28u%29-sqrt%28v%29%29%2F%28sqrt%28u%29-sqrt%28v%29%29 FOIL%2FFOIL: %28u-sqrt%28uv%29-sqrt%28uv%29%2Bv%29%2F%28u-+sqrt%28uv%29%2Bsqrt%28uv%29-v%29 = %28u-2sqrt%28uv%29%2Bv%29%2F%28u-v%29