You need to seek medical attention...
I understand you have a slightly bothering situation here. It is not normal for toe nail to get seperated completely off the nail bed. Further it is unusual to see two incidents happening over the fortnight.
Unfortunately without an opportunity to examine the nails under broad light it is extremely difficult to guess the cause. It may be secondary to infection or vascular disturbance. I recommend that you see a doctor preferably a dermatologist
at the earliest.
Hope this information suffices. Let me know if you need clarifications.