Set Theory -Calculus Question.

Write carefully using English and using it correctly.

Attempt to answer all the questions. You may use the previous questions in your answers.

You have 2 hours and 30 minutes.

1. Show that if q Î Q is a square in Q, then 2q is not a square in Q.

q equals q 

  =    

# Q #  

 =


 =   =
#Q# #Q# = 2Q
 =   =


The above is not a square in Q rather a set of squares in Q. =).


Thanks.


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