Final answer:
In Act 3, Scene 3 of Shakespeare's Hamlet, King Claudius asks Rosencrantz and Guildenstern to take Hamlet to England, where Claudius has planned for Hamlet to be killed.
Step-by-step explanation:
In Act 3, Scene 3 of William Shakespeare's Hamlet, King Claudius requests that Rosencrantz and Guildenstern escort Hamlet to England. This request is part of Claudius's larger scheme to have Hamlet killed, as he feels threatened by Hamlet's erratic behavior and possible knowledge of Claudius's culpability in the death of Hamlet's father. Although the question contains several references to other scenes and quotes from Hamlet, the specific request directed to Rosencrantz and Guildenstern occurs in Act 3, Scene 3.