Describe how you would estimate the square root of a number that is not a perfect square without using a calculator?

There isn't much you can do other than the guess and check method. For example if you have the square 37. I know that 6 times 6 is 36 so the square root must be very close to 6.

There is this chart that we made in middle school you took one sheet of paper and you folded it four times hot dog style and then you folded it eight times handberger style and then open it back up so that you have a folded booklet almost and then you cut only the folds on the back of the booklet and then you take another piece of paper and you cut it into two strips that will fit in the slits that you just made and then after you have them placed where you want you do all the perfect square from 1 to the power of 2 through about 24 or 25 to the power of 2 and then just go by what the foldable tells you and if you take it from the middle after your done with the foldable and you pull the middle apart there is another whole side that you write the answers to the perfect squares on.