Question 1124463
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Show, using 3 numerical examples, that the set of irrational numbers {{{highlight(cross(are))}}} <U>is</U> not {{{highlight(cross(closure))}}} <U>closed</U> with respect to addition.
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<pre>
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(2)}}} + {{{(1-sqrt(2))}}} = 1;


    {{{sqrt(3)}}} + {{{(8-sqrt(2))}}} = 8;


    {{{root(3,5)}}} + {{{(2/3 - root(3,5))}}} = {{{2/3}}}.


These are 3 examples that you want.
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