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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.
 September 12th, 2017, 10:53 PM #2 Senior Member     Joined: Sep 2015 From: USA Posts: 2,121 Thanks: 1101

 Tags irrational, proving, radicals

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