Final answer:
An irrational number between 8 and 8.1 is √2.
Step-by-step explanation:
An irrational number between 8 and 8.1 can be found by considering the decimal representation of both numbers. The decimal representation of 8 is 8.0, and the decimal representation of 8.1 is 8.1. To find an irrational number between these two, we need to find a decimal number that is not repeating or terminating.
One example of an irrational number between 8 and 8.1 is √2. This is the square root of 2, and it is an irrational number because it cannot be expressed as a simple fraction or a terminating or repeating decimal.
Therefore, √2 is an irrational number between 8 and 8.1.