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Do you know limits?

The field of all rational and irrational numbers is called the real numbers

Can you explain irrational numbers other than saying they are the non-rational real numbers?

an irrational number is any real number which cannot be expressed as a fraction a/b...

Yeah, that does not explain, what real numbers are!

so u understand wt an irrational no is

this question is used to trip up graduate students on oral exams. it is very hard to answer.

you can research dedikind cuts if you have the patience
\http://en.wikipedia.org/wiki/Dedekind_cut

gianfranco, i am sure of it.

Ok i respect your opinion.

a real number is a number that exists. it can be an integer, decimal, rational or irrational number.