**Finding Four Irrational Numbers between 0.1 and 0.2**

To find four irrational numbers between 0.1 and 0.2, we need to understand what irrational numbers are and how they differ from rational numbers. Irrational numbers are real numbers that cannot be expressed as a fraction of two integers. They do not terminate or repeat in decimal form, making them different from rational numbers.

**Understanding Irrational Numbers:**

Irrational numbers can be represented as non-terminating and non-repeating decimals. Examples of irrational numbers include √2, π (pi), and √3. These numbers have infinite decimal places without any repeating pattern.

**Approach to Finding Irrational Numbers between 0.1 and 0.2:**

To find four irrational numbers between 0.1 and 0.2, we can follow a step-by-step approach using decimal representations of irrational numbers.

**1. Convert 0.1 and 0.2 to Fractions:**

First, let's convert 0.1 and 0.2 to fractions. Since 0.1 is equivalent to 1/10 and 0.2 is equivalent to 1/5, we now have the range of fractions between 1/10 and 1/5.

**2. Find Irrational Numbers as Decimals:**

Next, we need to find irrational numbers between these two fractions. We can do this by converting irrational numbers to decimal form. Here are four irrational numbers between 0.1 and 0.2:

- **0.141421:** This is the square root of 0.02, which is an irrational number. It falls between 0.1 and 0.2.

- **0.166667:** This is the decimal representation of 1 divided by the square root of 6 (√6). It is an irrational number and lies between 0.1 and 0.2.

- **0.173205:** This is the square root of 0.03, which is also an irrational number.

- **0.183848:** This is the square root of 0.034, another irrational number.

**Conclusion:**

By following the steps outlined above, we have found four irrational numbers between 0.1 and 0.2: 0.141421, 0.166667, 0.173205, and 0.183848. These numbers are irrational because they cannot be expressed as fractions of two integers and have infinite non-repeating decimal representations.

1st number is 0.12nd no. is 0.2To find four irrational numbers, add any four numbers you like which are of the decimal form Non-terminating, Non-recurring.Eg of irrational no is 0.303003000... See, here it is non-terminating ans non-recurring...So write four irrational no. between 0.1 and 0.2 just like this example.0.10100100010000....0.15155155515555...0.14114111411114...0.17177177717777...These are four 4 irrational numbers between 0.1 and 0.2U can write many irrational numbers!There are infinity irrational numbers u can write between these two numbers...