18. Find an irrational number between 2 ⅙ and 2 ½.

1 answer

To find an irrational number between 2 ⅙ and 2 ½, we can consider the decimal representation of these numbers.

2 ⅙ can be written as 2.1666... (repeating).

2 ½ can be written as 2.5.

An example of an irrational number between these two decimal representations is √2, which is approximately 1.41421356.

Therefore, an irrational number between 2 ⅙ and 2 ½ is approximately 2.41621356.