In what episode did Goku and vegeta fuse?

Answer 1

The two fighters fused on three separate occasions. In Dragonball Z, Vegeta and Goku fuse using the Potara Earrings, which allow for a permanent combination. This combination is called Vegito, and is extremely powerful. It first happens at the end of episode 268, Union of Rivals, and is shown again in 269, Meet Vegito. The reason this transformation isn't permanent in the same way it was for Kabito and the Supreme Kai is because, when the two are absorbed by Buu, the stomach acid is enough to break their fusion.

The second type of fusion, known as the Fusion Dance, is first used in the series by Goten and Trunks against Buu. However, the first instance of Vegeta and Goku using the same technique is in the twelfth theatrical movie, Fusion Reborn. This transformation is seen in an orange vest and white pants, and is called Gogeta.

Gogeta makes a return appearance in episode 60 of Dragonball GT, when Vegeta realizes that even with his new Super Saiyan Four power, the two of them could not defeat Omega Shenron alone. The two fuse to become the most powerful fighter the series has seen, Super Saiyan Four Gogeta. Unfortunately, because of the lethal combination of Goku's playfulness and Vegeta's Cockiness, the fusion ends up wasting all of its energy playing a trick on Omega Shenron, and consequently is not what destroys him in the end.