Danish "r" sound
Is the "r" sound in Danish similar to that of German (kind of a vibrating in the back of the throat)? If not, how do you make it?
The Danish pronunciation of R is /ˈæɐ̯/
The German pronunciation is /ɛʁ/
So no, they are quite different. the Danish one represents more of a glottal stop + vowel-like combination while the German is actually an R consonant. you can use this chart: https://en.wikipedia.org/wiki/IPA_vowel_chart_with_audio to see exactly how this combination of vowels sound like. press the æ and then the ɐ. I couldn't find an English analogy.
I have to disagree here. In this case /ˈæɐ̯/ is just the pronunciation when speaking about the letter itself while for example reciting the alphabet. In normal speech however it is pronounced like the German r.
Here an example from http://ordnet.dk/ddo/ordbog?query=robust, an online Danish dictionary: robust is pronounced [ʁoˈbusd] and not [æɐ̯oˈbusd]