If this is greater than the first part of the number called by the spectator (i.e., ignoring the last two digits), then the last digit of your answer is the lower of the two possible values. Otherwise the last digit is the higher value. For example if the number called is 2809, the square root could be either 53 or 57.
to see the steps on how to find the square root, check out this website. I would post them now but I gtg sorry. http://www.factmonster.com/ipka/A0932229.html ^ there is the link to the steps on how to find it (: