歯医者に行くの

going to the dentist

→ 歯医者
phrase Rare #43,878
going to the dentist の turns 歯医者に行く (to go to the dentist) into a noun-like phrase. Depending on context, の can also appear as a sentence-ending explanatory particle.
JA: 歯医者に行くのは大切です。
EN: Going to the dentist is important.

彼女は定期的に歯医者に行くので、めったに歯が痛くならない。

She goes to the dentist regularly, so she rarely gets toothaches.

何で歯医者に行くのを先延ばしにするの?

Why do you keep putting off going to the dentist?

定期的に歯医者に行くのがいちばんいいよ。

It’s best to go to the dentist regularly.

歯医者に行くの、延期しないといけないな。

I’m going to have to postpone my dentist appointment.