[math-fun] Grooks

How is the work "grook" (coined by Piet Hein) supposed to be pronounced? According to https://en.wikipedia.org/wiki/Grook, it's spelled "gruk" in Danish, and http://www.pronunciationguide.info/Danish.html says that a Danish "u" is pronounced like the "u" in the American word "put", so I'm guessing that "grook" rhymes with "book" and not "spook". Am I right? Thanks, Jim Propp