Open Chrome on your Chromebook
Click the three-dot menu in the top-right corner
Select History
Click History again from the submenu
Click Clear browsing data
Choose a time range
Check Browsing history
Uncheck anything you do not want to delete
Click Delete data
To delete Google search history, go to myactivity.google.com
Sign in to your Google account
Click Delete
Choose a time range or select All time
Confirm deletion
To remove a single search, open Chrome history
Find the item you want to remove
Click the three-dot menu next to it
Select Remove from history