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The Options menu will launch in a new tab in the same browser window where you can clear the history. Then  look for "Clear Browsing Data" under Privacy. Set the period you want to clear the history from and select the data types you will be deleting. For the highest security, select all data types and clear "From the beginning of time."
Launch the Chrome browser. Go to options at the upper right side of the browser then click on Settings. Under "Settings" from the option types, click "Advanced Settings". Finish the process by clicking the Clear Browsing Data button and then closing the Options tab.