How to pronounce roux

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ʁ		The French 'r' is generally what is technically called a "uvular fricative". In simple language, that means you bring the back of your tongue close enough to the back of the mouth that it causes friction (the "raspy" sound that you hear) with the escaping air.
u		The French 'ou' vowel is pronounced with the back of the tongue "pushed up towards" the back of the mouth and the lips rounded. The back of the tongue is not quite as close to the roof of the mouth as in the French 'close o' sound.