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 $(d).$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
If the $y$ co-ordinate of a point is zero, then this point always lies:
→In figure, what is $Y$ in terms of $X?$
→The point $(-3, 0)$ lies:
→Write the correct answer in the following:
To draw a histogram to represent the following frequency distribution:
The adjusted frequency for the class $25-45$ is:
→To draw a histogram to represent the following frequency distribution:
|
Class intervai
|
$5-10$
|
$10-15$
|
$15-25$
|
$25-45$
|
$45-75$
|
|
Frequency
|
$6$
|
$12$
|
$10$
|
$8$
|
$15$
|
Which of the following needs a proof?
The value of $\left\{8^{-4 / 3} \div 2^{-2}\right\}^{1 / 2}$, is
→Write the correct answer in the following: Which of the following is not true for a parallelogram?
A river $1.5m$ deep and $30m$ wide is flowing at the rate of $3\ km$ per hour. The volume of water that rims into the sea per minute is.
→$ABCD$ is a rhombus. If $\angle\text{ACB} = 30^\circ,$ then $\angle\text{ADB}$ is:
→If the diameter of a cylinder is $28\ cm$ and its height is $20\ cm$ then its curved surface area is:
→