To square two-digit numbers having 5 as the tens digit:    ex.  53×53=2809

-Square the ones digit of the number being squared. This yields the last two numbers of the answer.    ex.  3×3=_ _ 09

-Square the tens digit (5) of the number being squared, and to this add the ones digit of the number being squared.  This yields the first two numbers of the answer.    ex.  (5×5)+3=28_ _.

Verify   52×52=2704    56×56=3136    59×59=3481    57×57=3249