If you removed trojans, you can never be 100% sure all is secure. If you only browse the web, chat, etc. you can run as is.
If you make online purchases, or do banking, I would format.
If you are just asking, and have had no indication of an infection, I would not format.
To check for trojans ......
Download, install, update, and run one or all of these:
Malwarebytes' Anti-Malware
http://www.malwarebytes.org/mbam.php
SUPERAntiSpyware Free
http://www.superantispyware.com/download.html
a-squared Free
http://www.emsisoft.com/en/software/download/
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To avoid conflicts........ only run one anti-virus program. Remove either AVG or Avast.