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D&D 5E Divine Smite + Critical Hit

How are they supposed to interact?

There's now a paladin in my Saturday campaign, and I don't know how divine smite (declared after you roll) will interact with critical hits. I'm inclined to allow him to declare a divine smite on a critical hit for 4d8 damage, but I'd like to know if there's any official ruling on the matter.

Cheers!
 

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guachi

Hero
If you roll dice for damage on an attack, you double the number of dice rolled on a critical hit.

attack roll, critical hit, declare reaction smite, roll double dice for critical. Was there an attack roll? Yes. Does divine smite roll dice for damage? Yes. Therefore, double the number of dice rolled.
 


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