For both experts and members alike, connecting your social accounts helps you build trust within our community. Along with that trust comes more people feeling comfortable connecting with you. It shows that you have taken the extra steps to prove you are the awesome person you say you are.
Once your social accounts are connected they'll appear as verified on your public profile.
Having verified social accounts can also help you build your network by allowing other users to add you to their LinkedIn network or follow you on Twitter.