There are two ways to make the captchas go away. Method 1: Wait it out and be an active user. After you account gets a certain age (in days), and you're actively using your account (posting on walls, sending messages, adding friends etc.), your account will verify itself. Method 2: Enter in a mobile phone number. If you enter in a mobile phone number, Facbeook will send you a text message with a confirmation code. You will then need to enter in the confirmation code on Facebook.com. Upon doing this, your account will validate.