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March 19th, 2014, 08:33 PM  #1 
Senior Member Joined: Oct 2013 From: Far far away Posts: 431 Thanks: 18  Find four irrationals
Question: Find four irrational numbers between 3 and 4 My attempt (thanks to Pero and Agentredlum): 3^2 = 9 and 4^2 = 16 So the square root of nonperfect squares from 9 to 16 such as 10, 11, 12, 13, 14, 15 should be irrational So the answer is Am I correct? Is there another way? 
March 20th, 2014, 01:46 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,856 Thanks: 745  Re: Find four irrationals
You could also use any rational number, between 9 and 16, which is not a square.


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