- #1
nietzsche
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Homework Statement
My prof showed us the proof that sqrt2 is not a rational number. She said, however, that we haven't proved that it is irrational, because we haven't proved that sqrt2 exists. How would we go about proving this?
Homework Equations
N/A
The Attempt at a Solution
This isn't really a homework question, it's just curiosity. I think she said something about showing that sqrt2 is a solution to x^2 - 2 = 0, and that when you graph this function, it does indeed intersect the x-axis sqrt2. But that seemed a bit fishy (or incomplete, or something...) to me.