You Do Need power plug adapter while traveling from Syria to Nauru.

Here is Why You Need An Adapter

The outlet and plug type used in Nauru is I and in Syria are C, E and L. This is how they look like.

Syria

In Syria, outlets of type C, E and L are in use.

Type C

Type E

Type L

Nauru

In Nauru, outlets of type I are in use.

Type I