Figured it could be approximated by considering that the square root of 121 is 11, so the answer must be close to 10.9 scaled down to 1.09. (Although I got this wrong at first by scaling down too far to 0.109 and had to be corrected.) This was followed by many questions asking how I could obtain the result using an FPGA which allowed me to talk about CORDIC, and other methods of approximations that I tried to dream up - most were probably incorrect but I think they may have liked how hard I tried to come up with alternate ideas.