By definition we have to:
In mathematics, an irrational number is a number that can not be expressed as a fraction m / n, where m and n are integers and n is different from zero.
For example, the number π is an irrational number.

We must find an irrational number between 5 and 7.
We then have the following number:

Answer:
An irrational number between 5 and 7 is:
