Jef123
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1. Prove that \sqrt{2} is not a rational number using the rational zero theorem
2. Homework Equations : x2-2
So, I was thinking to just show that the only rational numbers that have the form \frac{c}{d} are \pm 1, \pm 2, but \sqrt{2} is not any of those numbers, so it must be irrational? I feel like I'm supposed to have more of a justification as to why \pm 1, 2 are the only possible numbers
2. Homework Equations : x2-2
The Attempt at a Solution
So, I was thinking to just show that the only rational numbers that have the form \frac{c}{d} are \pm 1, \pm 2, but \sqrt{2} is not any of those numbers, so it must be irrational? I feel like I'm supposed to have more of a justification as to why \pm 1, 2 are the only possible numbers