Question
Which of the following is true statement ?
✓
Answer
- Every real number is either rational or irrational.
Solution :
Consider, $(2+\sqrt{3})$ and $(2-\sqrt{3})$ which are two irrational number.
$(2+\sqrt{3})+(2-\sqrt{3})=4,$ which is a rational number.
Consider, $\sqrt{3}$ and $\frac{1}{\sqrt{3}}$ which is a rational number.
Every real number can either be a rational number or an irrational number.
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
The decimal expansion of $\sqrt{2}$ is:
→- finite decimal.
- 1.4121
- nonterminating recurring.
- nonterminating, nonrecurring.
The numbers 2, 3, 4, 4, 2x + 1, 7, 7, 8 and 9 are written in an ascending order. If the median is 7, then mode of this data is:
When $p(x) = x^4 + 2x^3 - 3x^2 + x - 1$ is divided by $(x - 2),$ the remainder is:
→A metallic sphere of radius 10.5cm is melted and then recast into small cones, each of radius 3.5cm and height 3cm. The number of such cones will be:
The volume of a sphere of diameter $42\ cm$ is:
→In the given figure$, CD$ is the diameter of a circle with centre $O$ and $CD$ is perpendicular to chord $AB.$ If $AB = 12\ cm$ and $CE = 3\ cm,$ then radius of the circles is:
→A quadrilateral whose sides are $3\ cm, 4\ cm, 4\ cm, 5\ cm$ and one of the diagonal is equal to $5\ cm$ as per the below figure. The area of the quadrilateral is:
→If $\frac{\text{a}}{\text{b}}+\frac{\text{b}}{\text{a}}=1,$ then $a^3 + b^3 =$
→If $\text{x}=\frac{2}{3+\sqrt7},$ then $(x - 3)^2 =$
→→