An example of an irrational number between 4 and 8 is √5.
To find an irrational number between 4 and 8, we can use the fact that π (pi) is an irrational number. Since π is approximately equal to 3.14, we can choose a number between 4 and 8 that is close to this value. Let's say we choose 3.5 as our number. To check if it is irrational, we can see if it can be written as a fraction or terminates in a decimal pattern. Since 3.5 cannot be expressed as a fraction and its decimal representation does not terminate or repeat, it is an irrational number. Thus, 3.5 is an irrational number between 4 and 8.
