SOLUTION: what can we multiply to rationalize the denominator? {{{ (sqrt( 2 )xy^2)/(cube root of( 8 )xy^3) }}}

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Question 981108: what can we multiply to rationalize the denominator?


Found 2 solutions by Edwin McCravy, Alan3354:
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!


The cube root of 8 is 2 so we can take the 8 out of
the root and put 2 in front of the radical on the bottom.

The cube root of y3 is y so we can take the 3 out of
the root and put y in front of the radical on the bottom



The y in the bottom cancels into the y in the top.



To clear the cube root in the bottom multiply top and bottom by 
.  That will make the bottom become 







Now the x's cancel:





You can either leave it like that or get all to one root:

 =  = 


 =  = 

Edwin

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
If you mean:

=
=
=
=
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Your use of parentheses doesn't eliminate the ambiguities.

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