You can delete past searches, browsing history, and other activity from your Google Account. You're in control of what's stored in My Activity, and you can stop saving most activity at any time. Learn more about My Activity and what's saved there. read more
On chrome PC click the button directly to the right of search bar. Click history then select delete search history. On phones tap the dots icon, scroll down, then tap delete search history. on non-google owned sites simply delete cookies. read more