If you are using Firefox, on top tool bar click on "tools", then click "clear private data". If you are using explorer. Click on "tools", then click on "internet options" then choose what you would...
Click the arrow at the end of the search next to the go button. At the bottom of the white window that appears, click clear history.
If you are talking about Google Web Search (the other one...
Follow these steps: Go to your Favorites bar. (not the drop down menu, but the sidebar) Click on the tab entitled 'History'. Click on the date on which you made the search of which you wish to delete...