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)another algebra problem

sqrt(24^3 * y) / sqrt(3xy) =
sqrt(13824y) / sqrt(3xy) =
sqrt(13824y / 3xy) =
sqrt(13824 / 3x) =
sqrt(4608 / x)

?
 
the more I look at the equation in the book, the more I think they put it together wrong. Thanks for eveyones response.
 
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