The problem that is most likely to involve irrational numbers is:
finding the side length of a square based on the area
When you calculate the side length (s) of a square using the formula \( s = \sqrt{A} \) (where A is the area), if A is not a perfect square, the result will be an irrational number. For example, if the area is 2, the side length will be \( \sqrt{2} \), which is an irrational number.