A number which cannot be written in the simple fraction is known as irrational number or the number which is not rational is irrational number.
The ‘pi’ is the example of irrational number. $\pi$ = 3.1415926535897……….. So, it cannot be expressed in the form of a rational number.
Now, we will see the list of irrational numbers.
The irrational number list is given below:
$\sqrt{2}$ |
1.41 |
$\sqrt{3}$ |
1.73 |
$\sqrt{5}$ |
2.23 |
$\sqrt{7}$ |
2.64 |
$\sqrt{11}$ |
3.31 |
$\sqrt{13}$ |
3.6 |
$\sqrt{17}$ |
4.12 |
$\sqrt{19}$ |
4.35 |
$\sqrt{23}$ |
4.79 |
$\sqrt{29}$ |
5.38 |
$\sqrt{31}$ |
5.56 |
$\sqrt{37}$ |
6.08 |
$\sqrt{41}$ |
6.4 |
$\sqrt{47}$ |
6.85 |
$\sqrt{53}$ |
7.28 |
$\sqrt{57}$ |
7.55 |
$\sqrt{59}$ |
7.68 |
$\sqrt{61}$ |
7.81 |
$\sqrt{63}$ |
8.93 |
$\sqrt{67}$ |
8.18 |
$\sqrt{69}$ |
8.3 |
$\sqrt{71}$ |
8.42 |
$\sqrt{73}$ |
8.54 |
The list of irrational numbers include many other numbers.
Let us study some facts about irrational numbers:
- Negative of an irrational number is also irrational number means if ‘q’ is irrational then ‘-q’ is also an irrational number.
- When we add an irrational number and rational number, then the sum is also irrational. Let ‘x’ is an irrational number and ‘y’ is a rational number, then the sum (x + y) is irrational.
- In case of roots, the above step is applicable. Let $\sqrt{3}$ is irrational and ‘e’ is rational, then the sum $\sqrt{3}$ + e is also irrational.