Does repeated talaq, issued four times to the wife during extreme anger and high intoxication, with the intention of a single divorce, take effect? And can the husband take his wife back?

Anger does not prevent the occurrence of divorce as long as the one uttering it is aware of what he is saying. So, if you uttered the divorce while aware, your divorce has occurred. As for your repeating the word of divorce for emphasis, without intending to repeat the divorce, only one divorce takes place.

If you have not divorced your wife twice before, then you have the right to reconcile with her before the expiration of her iddah (waiting period) by word or by intercourse.

However, if this divorce completes the three divorces, then your wife has become irrevocably separated from you, and she is not lawful for you unless she marries another man and he consummates the marriage with her, then he divorces her or dies, and her iddah expires.

It is advisable to avoid severe anger due to the hadith: "Do not get angry."