SOLUTION: √72x^2y _______ = it says to rationalize the denominator thanks for your help! :) √24xy

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Question 634012: √72x^2y
_______ = it says to rationalize the denominator thanks for your help! :)
√24xy

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28sqrt%2872x%5E2y%29%29%2F%28sqrt%2824xy%29%29
First factor inside both radicals to reveal the perfect squares
%28sqrt%2836%2A2x%5E2y%29%29%2F%28sqrt%284%2A6xy%29%29
Extract the square root of those squares, cancel 2
%286x%2Asqrt%282y%29%29%2F%282%2Asqrt%286xy%29%29 = %283x%2Asqrt%282y%29%29%2F%28sqrt%286xy%29%29
:
Multiply by the denominator over itself (same as multiplying by 1)
%283x%2Asqrt%282y%29%29%2F%28sqrt%286xy%29%29*%28sqrt%286xy%29%29%2F%28sqrt%286xy%29%29 = %283x%2Asqrt%286%2A2xy%5E2%29%29%2F%286xy%29%29 = %28sqrt%2812xy%5E2%29%29%2F%282y%29%29
We have two perfect squares we can extract
%28sqrt%284%2A3xy%5E2%29%29%2F%282y%29%29 = %282y%2Asqrt%283x%29%29%2F%282y%29%29
cancel 2y
sqrt%283x%29
:
A lot of steps, but did each one make sense to you? If you know these, it
will greatly help you to deal with these radicals. C