For your safety know that you can quickly delete your search history . This can be done easily by pressing CTRL then H select "clear search history".

Delete Internet Browsing History 
for Google Chrome

Step 1: Click on the 'wrench' icon on the top right corner

Step 2: Go down the list until your mouse is hovering over 'tools'

Step 3: Click on 'Clear Browsing Data...'

Step 4: Select the time period that you would like deleted and then from the list, decide which ones you would like to delete

You have now successfully deleted your Internet History!