An irrational number lying between 8.83 and 11.2
Answers
An irrational number between 8.83 and 11.2 can be 9.343373336 . . .
Given: Two points 8.83 and 11.2 are given
To find: An irrational number lying between them
Solution: An irrational number is a number which can be produced in the form of p/q where p and q are integers and q is not equal to 0.
The irrational number should also be non-terminating and non-recurring.
A terminating decimal terminates after the decimal point. For example- 8/5 equal 1.6 . This is a rational number because it terminates after decimal.
A recurring decimal is a decimal whose digits repeat continuously after decimal point. For example- 7/3 equals 3.333 . . . Here, the digit 3 keeps repeating.
Therefore, any irrational number should not terminate or recur after the decimal point. There are infinite irrational numbers between two numbers.
One such example is 9.343373336 . .
In the number 9.343373336 . . , the number neither terminates nor recurs completely.
Therefore, it is an irrational number.