Hi
The correct spelling is δακρύζω.
Most verbs ending in -ιζω, take a ι before the ζ.
Ex. ζωγραφίζω, χαρίζω, χτενίζω, γυρίζω.
The following ones are exempted:
δακρύζω= I tear,
δανείζω = I lend,
αθροίζω = Ι add,
πήζω = I thicken,
πρήζω = I cause to swell.
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Vasiliki Baskou, Instructor/Director, https://learn-greek-online.com.