Well, I was talking about basic arithmetic, addition/subtraction/multiplication/division of integers. Doing algebra (which is usually where you'd find square r

Well, I was talking about basic arithmetic, addition/subtraction/multiplication/division of integers. Doing algebra (which is usually where you'd find square roots) on paper is certainly still useful, but usually the numbers aren't very large, so it's essentially orthogonal to the type of work mentioned here. Algebra and more advanced math has multiple ways to go about dealing with an expression and requires understanding to proceed, but long multiplication or addition is just rote application of an algorithm. (I suppose the fraction in the problem in the article makes it a bit trickier, but I suggest that the dilemma of ordinary four-function calculators not being able to do exact fractions is not a common real world problem, or they would be able to do them.)