SOLUTION: Show, using 3 numerical examples, that the set of irrational numbers are not closure with respect to addition.

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Question 1124463: Show, using 3 numerical examples, that the set of irrational numbers are not closure with respect to addition.
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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Show, using 3 numerical examples, that the set of irrational numbers highlight%28cross%28are%29%29 is not highlight%28cross%28closure%29%29 closed with respect to addition.
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In the following lines, first addend is an irrational number; the second addend is an irrational number, too;

but the sum is a rational number:


    sqrt%282%29 + %281-sqrt%282%29%29 = 1;


    sqrt%283%29 + %288-sqrt%282%29%29 = 8;


    root%283%2C5%29 + %282%2F3+-+root%283%2C5%29%29 = 2%2F3.


These are 3 examples that you want.