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September 12th, 2017, 10:45 PM | #1 |
Newbie Joined: May 2015 From: San Francisco Posts: 2 Thanks: 0 | 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, 10:53 PM | #2 |
Senior Member Joined: Sep 2015 From: USA Posts: 1,856 Thanks: 963 | |
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irrational, proving, radicals |
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