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A rational number of the form aa with a irrational
 

Summary: A rational number of the form aa
with a irrational
J. Marshall Ash1
DePaul University
Chicago, IL 60614
Yiren Tan
Student
DePaul University
Chicago, IL 60614
Here is a very well known elementary proof that there are irrational numbers
a and b so that ab
is rational: We know
p
2 is irrational. If
p
2
p
2
is rational,
then we are done; while if it is not rational, then

  

Source: Ash, J. Marshall - Department of Mathematical Sciences, DePaul University

 

Collections: Mathematics