Root Canal...this can be painful...and expensive.
I got mine done a year and half ago in germany costed 4500 Euro ...by the way I also have private insurance.
It was like this...this was the first time I went to a dentist in germany...and was amazed by their service and diagnosis...that was all becoz I am a private patient

and I guess the dentist wanted to pay his yacht
He gave me a quotation of 2500 Euros and managed to ask for 4500 Euros...shameless and then I had to shell out 700 Euros becoz I have to pay Selbstbeteiligung...
My suggestion:
> go to 2 different Dentists...take a quotation from both of them...compare and send it to your Health Insurance company..get a approval from them in writing how much they are going to pay...only then go for it.
I did the mistake of only asking my agent and not getting it approved from my insurance company...which costed me 700 Euros
Also depending on the number of years that u are with this insurance company they pay that much..normally in the 4th year you have no upper limit...otherwise they pay you only a specific sum...written in their fine prints.
All the best...hope that it is not that painful