Question
$\big(-2-\sqrt{3}\big)\big(-2+\sqrt{3}\big)$ when simplified is:
✓
Answer
- positive and rational.
Solution:
$\big(-2-\sqrt{3}\big)\big(-2+\sqrt{3}\big)$
$\big(-2\big)^2-\big(\sqrt{3}\big)^2$
$=4-3=1,$ which is positive and rational number.
Hence, the correct answer is option (b).
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
Decimal representation of a rational number cannot be.
Abscissa of a point is positive in:
The mean of 100 items was found to be 64. Later on it was discovered that two items were misread as 26 and 9 instead of 36 and 90 respectively. The correct mean is:
Every rational number is:
- a natural number.
- a whole number.
- an integer.
- a real number.
The figure formed by joining the mid-points of the adjacent sides of a Square is a:
- Rhombus.
- Square.
- Rectangle.
- parallelogram.
In the given figure, AB || CD. If $\angle\text{EAB}=50^\circ$ and $\angle\text{ECD}=60^\circ$ then $\angle\text{AEB}=?$
→- 50º
- 60º
- 70º
- 55º
$\pi$ is:
→→
The value of $\frac{\sqrt{48}+\sqrt{32}}{\sqrt{27}+\sqrt{18}},$ is:
→