The document explains irrational numbers, which cannot be expressed as a ratio of two integers. It highlights that they have non-terminating and non-recurring decimal expansions, with examples like 2 and 0.1011001110001111. It encourages viewers to watch a video for further understanding.

1. Irrational numbers

2. 1
1
2
Hypotenuse = 12 + 12
= 2
Isoceles Triangle
https://youtu.be/UKG1QlqtRyI
For clear understanding do watch this :

3. 2 is neither integer nor an ordinary fraction.
Therefore, 2 could be called as irrational number.
Then irrational numbers cannot be written as a form of
𝑝
𝑞
,
p and q are integers, q ≠ 0.

4. An irrational number is a number that cannot be expressed as an ordinary ratio
Of two integers.
Eg. 2, 5 , 7, 2 3, . . . . . .
Irrational Number :
The set of all irrational number is not specifically, denoted by any symbol.

5. Decimal Representation :
Rational Number Terminating
Or
Non-terminating
and
Recurring
Irrational Number Non-terminating
and
Non-recurring

6. Definition :
A number having non-terminating and non-recurring decimal expansion is an
Irrational Number
Example :
2 = 1.4142135624. . . . . . . . . . . . . .
0.1011001110001111. . . . . . . . .

7. T h a n k Y o u
https://youtu.be/UKG1QlqtRyI
For clear understanding do watch this :