If you received a notification about the result from Google, you can request to remove it by clicking on the notification. If you found the result yourself on the search results page, submit your request through this detailed removal request form.

On your computer, go to your Search history in My Activity. On the left or at the top, click Controls. On the "Web & App Activity" card, click Auto-delete (Off). If you find “Auto-delete (On),” Google automatically deletes your Web & App Activity, which includes your Search history, after a specific time period.

Go to Google's My Activity page (make sure you're logged into your Google account). Click the Delete button below the “Search your activity” field. Choose the time period you'd like to delete your data. All time will delete all your Google history.