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September 12th, 2017, 11:45 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, 11:53 PM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 1,696 Thanks: 861  

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irrational, proving, radicals 
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