SOLUTION: A theme that has run throughout our class is that mathematicians can sometimes make accurate predictions when they are not given enough information to do so. Here is one example: I

Question 536331: A theme that has run throughout our class is that mathematicians can sometimes make accurate predictions when they are not given enough information to do so. Here is one example: If you select any fraction what so ever, I can predict that if you square that fraction, you will not get exactly 2. Please explain how I know this and then give two other examples if this sort of phenomena that we have considered. please state them clearly and explain how you know you are correct. you may quote Theorems rather than giving proofs.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
sqrt(2) is not a rational number, so it can't be expressed as a fraction.
That's not an impressive prediction, imo.
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