what is an irrational number between 5 and 7

One example of an irrational number between 5 and 7 is the square root of 6, written as √6. It is approximately equal to 2.449.

To find an irrational number between 5 and 7, we can take the square root of a non-perfect square number.

Let's choose 6 as the number between 5 and 7 since the square root of 6 is between 2 and 3.

√6 ≈ 2.449489742783178

Therefore, an irrational number between 5 and 7 is approximately 2.449489742783178.