In the grand tradition of mathematicians contributing to the mathematical theory of big game hunting, you too can now experience (in simulation, so that no lions are hurt) the thrill of attempting to catch a lion in the Sahara Desert.
Let us assume for a moment that the Sahara Desert is actually the Real Number Line, and that you are equipped with a detector that will tell you if the lion is to your left or to your right. (Do not worry about the safety of attempting to use the detector at the precise location of the lion, or the lion moving from one location to another, as we have acquired a particularly tame simulated lion for this experiment). Your job is to locate the lion as best as you can:
To use: Enter a number in the box to use the lion detector at a particular location. A table entry will appear telling you whether the lion is located to your right (i.e. at a larger number) or to your left (i.e. at a smaller number).
We can apply a similar technique to calculate the decimal digits of the square root of two. Enter a positive number in the box below, and the interactive will display its square. If the square is larger than two, then your number is larger than the square root of two. If the square is smaller than two, then your number is smaller than the square root of two.
