0.3333333.... is irrational because it can not be stated exactly, no matter how many decimal places you use.
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The politician, who was very frustrated, was being irrational. Air Travel is extremely safe but some people still have an irrational view of flying. The irrational boy ran into the tree. The irrational cat ate the dog's food. He was so irrational at the bar he was almost killed. It is irrational for you to go out.
He has an irrational fear of paperclips.Your behaviour is very irrational lately.He never understood irrational numbers.
Example sentence - There is no reasoning with horrid adult children. You could be reasoning with irrational people.
yes
Yes. The sum of two irrational numbers can be rational, or irrational.