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September 12th, 2017, 11:45 PM   #1
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Proving certain radicals are irrational

Prove $\displaystyle \sqrt{2} + \sqrt{3}$ is an irrational number.

My attempt to solve this problem is to equate $\displaystyle \sqrt{2} + \sqrt{3}$ to $\displaystyle \frac{a}{b}$ and show that a or b cannot be integers. I don't know how to do that.
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September 12th, 2017, 11:53 PM   #2
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https://math.stackexchange.com/quest...-is-irrational
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