MCQ
The difference between two distinct irrational numbers is always
- ✓both rational and irrational number
- Ba rational number
- Cnone of these
- Dan irrational number
✓
Answer
Correct option: A.
both rational and irrational number
The difference between two distinct irrational numbers can be either a rational number or an irrational number.
e.g difference between $\pi$ and $(\pi - 3)$ is equal to $3$ which is rational
$\sqrt{2}$ and $\sqrt{2}+1$ both are irrational but their difference is $1$ which is rational
similarly $,\sqrt{2}$ and $\sqrt{3}$ are irrational and their differnce $ (\sqrt{3}-\sqrt{2})$ is also irrational
e.g difference between $\pi$ and $(\pi - 3)$ is equal to $3$ which is rational
$\sqrt{2}$ and $\sqrt{2}+1$ both are irrational but their difference is $1$ which is rational
similarly $,\sqrt{2}$ and $\sqrt{3}$ are irrational and their differnce $ (\sqrt{3}-\sqrt{2})$ is also irrational
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