MathTutorDVD.com explains how to mentally square any 2-digit number.

Mental Math - Ep13 - Multiply 3-digit by 1-digit numbers.

Learn how to rapidly do Math calculations in your head!  Perfect for students in algebra, geometry, calculus, or any math course.  Also great to get an edge in business or in the workplace.  Also very helpful for students taking the GRE, SAT, LSAT, MCAT, and other standardized tests.  Free yourself from using calculators and iphone applications to do basic math.  Impress your friends with your mental math abilities!