"In the late twentieth century, there was absolutely no need to double-check whether you TI-30 was accurately reporting the square root of seventeen."
Probably not your TI-30, but there was a famous incident where square roots in particular were being incorrectly calculated by Microsoft Excel on certain Intel processors, so uh, yeah there's definitely a need to double check :)
@karawynn There's also the whole thing that if you're working with floating point numbers, some numbers are simply Not Going To Be What You Expect. There's no way to represent 0.6 in a standard floating point format, for example.
So yeah, don't even trust computers to calculate correctly ;)
"You’re basically just shaking the Magic 8 Ball over again until (if you haven’t gotten frustrated and quit first) it randomly serves up an answer you like, at which point you stop asking."
Ultimately (and as many people have already pointed out) this will lead to a wish-wash of regress-to-the-mean model that is no better than a horoscope oracle.