Where does “با هم” come from?

با هم (Persian) comes from Persian هم, from Middle Persian hm, from Old Persian 𐏃𐎶, from Proto-Iranian hamHás, from Proto-Indo-Iranian samHás, from Proto-Indo-European somHós, from Proto-Indo-European sem- — together, one.

با هم (Persian): together

Definitions

together

Ancestry of “با هم”, step by step

با هم traces back through two separate lines of ancestry.

via Persian هم

Step	Language	Word	Meaning
1	Persian	هم	also, too; similarly
2	Middle Persian	hm	same, similar
3	Old Persian	𐏃𐎶	same, together
4	Proto-Iranian	hamHás	—
5	Proto-Indo-Iranian	samHás	same, equal
6	Proto-Indo-European	somHós	same, alike
7	Proto-Indo-European	sem-	together, one

via Persian با

Step	Language	Word	Meaning
1	Persian	با	soup; API •; with
2	Proto-Iranian	*HwáHatah	wind
3	Proto-Indo-Iranian	HwáHatas	wind
4	Proto-Indo-European	h₂wéh₁n̥ts	blowing; that which blows; the wind, air
5	Proto-Indo-European	h₂wḗh₁ti	to blow
6	Proto-Indo-European	h₂weh₁-	to blow

Every word from Proto-Indo-European sem- →Every word from Proto-Indo-European somHós →Every word from Proto-Indo-Iranian samHás →