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October 16th, 2010, 03:46 PM  #1 
Member Joined: Apr 2010 Posts: 33 Thanks: 0  Irrational Numbers
Is this statement TRUE or FALSE. [color=#FF0000]Some irrational numbers are real. [/color] Explain your answer in set theory please. 
October 16th, 2010, 08:46 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 19,977 Thanks: 1851  This article gives an example of an irrational real number. The fact that ?2 ? R and ?2 ? Q suffices to show that some irrational numbers are real. It's also true that all irrational numbers are real (by virtue of how irrational numbers are defined). 

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