if u have to find 6 rational number then multiply no. by 7 eg find six rational no. between 3,4 ?solution-3/1 ✖ 7/7 ,4/1.7/7 =21/7 and 28/7no b/w 3 and 4 are 22/7,23/7,24/7,25/7,26/7,27/7here. means ✖

Introduction:
Finding an irrational number between two rational numbers requires understanding the properties of rational and irrational numbers. Rational numbers can be expressed as fractions, while irrational numbers cannot be expressed as fractions and do not terminate or repeat. To find an irrational number between two rational numbers, we can utilize the concept of decimal expansion.

Steps to find an irrational number between two rational numbers:

Step 1: Identify the two rational numbers:
First, identify the two rational numbers between which you want to find an irrational number. Let's say the two rational numbers are a and b, where a < />

Step 2: Determine the decimal representation of the rational numbers:
Convert the rational numbers a and b into decimal form. For example, if a = 1/3 and b = 1/2, their decimal representations would be 0.333... and 0.5, respectively.

Step 3: Identify the decimal expansion:
Analyze the decimal expansions of a and b to find a pattern or gap between the numbers. In this case, we can observe that there is a gap between 0.333... and 0.5.

Step 4: Construct a number between the two decimals:
Construct a number between the decimal expansions of a and b. In this case, we can insert a digit or a sequence of digits between 3 and 5 in the decimal expansion of a, such as 0.346.

Step 5: Verify the constructed number:
Check if the constructed number is rational or irrational. In this case, the number 0.346 is irrational because it cannot be expressed as a fraction and its decimal expansion does not terminate or repeat.

Conclusion:
By following these steps, we can find an irrational number between two rational numbers. The key is to analyze the decimal expansions of the rational numbers and construct a suitable number within the gap. Remember that irrational numbers are infinite and non-repeating, making it possible to find an infinite number of irrational numbers between any two rational numbers.