Question

Find an irrational number between 7 and 8. Explain your answer.




Find an irrational number between 2 ⅙ and 2 ½.

Answer 1

One irrational number between 7 and 8 is √2. This number is irrational because it cannot be expressed as a simple fraction and its decimal representation goes on forever without repeating.

One irrational number between 2 ⅙ and 2 ½ is √3. This number is irrational for the same reasons mentioned above.