en_tn_condensed/deu/12/03.md

You must break down their altars

"you must pull apart the altars of those nations" or "you must destroy the altars of those nations"

dash in pieces

"break into pieces" or "shatter"

destroy their name

"destroy them so completely that no one will remember them" or "destroy anything that represents these false gods"

that place

This refers to each place where the nations worshiped their gods.