Your search history is saved by the browser not by Google or whichever search you use. So deleting your search history will be different depending on the browser you are using.
Internet Explorer 7:
- Click on the “Tools” menu
- Click the “Internet Options” at the bottom
- Under the “General” tab click on “Delete…” button
- A new dialog box will appear and will give you the option to delete Internet temp Files, cookies, history, forms, and your passwords
- Press the “Delete History…” button and confirm or press the “Delete All” button to remove everything at once
Firefox users:
- Select “Tools” on the menu bar
- Scroll down to “Clear Private Data” and click on it
- That’s it, your search history has been removed
this does not erase the GOOGLE search box memory drop down on windows vista business…please advise
Which browser are you using? Here’s a guide from Google on erasing history http://www.google.com/support/bin/answer.py?answer=465