No real short cut I know of, just learn your multiplication tables and know your perfect squares. Once you do that you recognize that 36 is the perfect square of 6 so 3600 is the square of 60.
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60
60
sqrt(12960000) = 3600
46% of 3600 square feet:= 46% * 3600= 0.46 * 3600= 1,656 square feet
If and only if you are working with a square, you get the square root of the number