They both dont have one more electron thn normal..
A negative ion is the one which has Gained one electron but
a free radical is just a specie with an unpaired electron for e.g all the halogens, they all have one unpaired electron..its not about losing or gaining electron here..
.. wen something gains an electron tht means tht it has one more electron (than its ground state) ??-.-
so all molecules like Li, H ,Na , K(who have one unpaired e
-)are also free radicals ?