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

Answer 1

One irrational number between 7 and 8 is the square root of 2.

The square root of 2 is an irrational number because it cannot be expressed as a fraction in the form of a/b, where a and b are integers. It is a non-repeating and non-terminating decimal.

To verify that the square root of 2 is between 7 and 8, we can calculate its decimal approximation. The square root of 2 is approximately 1.41421356. Since 1.41421356 is greater than 1 and less than 2, we can conclude that the square root of 2 is greater than 7 and less than 8.