Is it true that the sum of irrational numbers is always an irrational number?

Asked by Bhavay Jain | 12th Jul, 2010, 10:15: PM

Expert Answer:

Dear Student,
 
This is a false statement.
Sum of two irrational numbers can add to give a rational number.
For example:
Take two irrational numbers as 1 + Sqrt(2) and  1 - Sqrt(2)
When we add these two irrational numbers Sqrt (2) gets cancelled and only "2" remains which is a rational number.
 
Regards,
TopperLearning

 

Answered by  | 13th Jul, 2010, 09:41: AM

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