President Obama's Super Chill About Daughters Dating

President Obama ain't trippin' now that his daughters are in the dating world ... you know, since the Secret Service has his back.

The Prez told a Raleigh, NC radio station Friday he's "pretty relaxed" when it comes to First Daughters Malia, 18, and Sasha, 15, dating. You gotta hear his 2 reasons -- the main reason being Michelle's stellar example.

Then, the secret weapon every pops wishes they had.