MCQ
The product of two irrational number is:
- Aalways irrational.
- Balways rational.
- Calways an integer.
- ✓sometimes rational and sometimes irrational.
✓
Answer
Correct option: D.
sometimes rational and sometimes irrational.
Consider, the irrational number, $\sqrt{3}.$
Product $=\sqrt{3}\times\sqrt{3}=3,$ which is a rational number.
Consider two irrational numbers, $\sqrt{2}$ and $\sqrt{3}.$
Product $=\sqrt{2}\times\sqrt{3}=\sqrt{6},$ which is an irrational number.
Hence, the product of two irrational numbers are sometimes rational and sometimes irrational.
Hence, the correct opion is $(d).$
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