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Precalculus Mathematics Homework Help
My proof that the square root of 2 multiplied by r is irrational
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[QUOTE="thelema418, post: 4800049, member: 454910"] I would recommend writing your proof as a narrative, giving explicit information about what you are doing. I think you need to state that ##n \neq 0##, ##b \neq 0##, etc. Or, ##m, n, a, b \in \mathbb{Z}^*##. I understand the restrictions on the variables contextually, but I like to be certain when dividing by a variable that I am not dividing by 0. Step 2 is not clear. Also, I think you need to say something about a and b being relatively prime. The same for m and n. There is an issue just before step 4. You don't give the information, you just said you solved for ##x##. But then, how do you know: ##x^2 = 2 \frac{y^2 m^2}{n^2}## is even? An integer times 2 is even... but here you have a rational number times 2. I do think you can work from this information, but you have to do something different algebraically. [/QUOTE]
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Precalculus Mathematics Homework Help
My proof that the square root of 2 multiplied by r is irrational
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