MCQ
The difference of two irrational numbers is.
- AAlways rational.
- BAlways irrational.
- CAlways an integer.
- ✓Either irrational or rational.
✓
Answer
Correct option: D.
Either irrational or rational.
Difference of two irrationals need not be an irrational.
Example:- each one of $(5\div\sqrt{2})$ and $(5-\sqrt{2})$ is irrational,
But, $(5+\sqrt{2})-(3+\sqrt{2})=2,$ which is rational.
Example:- each one of $(5\div\sqrt{2})$ and $(5-\sqrt{2})$ is irrational,
But, $(5+\sqrt{2})-(3+\sqrt{2})=2,$ which is rational.
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