A) Is always a natural of irrational
B) May be rational or irrational
C) Is always a rational number
D) Always an irrational number
Correct Answer: B
Solution :
Let two rational numbers be \[\sqrt{3}\] and \[\sqrt{2}.\] \[\therefore \] \[(\sqrt{3}+\sqrt{2})\] is an irrational number. Now, Let two rational numbers be \[3-\sqrt{2},\,\,\sqrt{2}.\] \[\therefore \] \[(3-\sqrt{2})+\sqrt{2}=3\] (rational) Hence, sum of two irrational numbers may be rational or irrational.
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