Why have e Cornwall and Regan left home and visit Gloucester?

Cornwall and Regan leave home to visit Gloucester as part of their scheme to consolidate power and undermine King Lear. They aim to gain support from Gloucester, who is seen as a loyal ally to Lear, and to manipulate the situation to their advantage. Their visit is also motivated by their desire to eliminate any threats to their authority, particularly Lear's growing instability and the loyalty of Gloucester to him. This sets the stage for the unfolding tragedy and betrayal in the narrative.