Question

What is a rational number that is between 9.5 and 9.7?

Answer 1

A rational number can be written as a fraction so 9.6 is rational

An irrational number cannot be written as a fraction so the decimal is non-repeating and doesn't end. (example: pi π = 3.14159265358.... ) Easiest way to write/express an irrational number is by root.

9.5 < x < 9.7
(9.5)² < x² < (9.7)²
90.2 < x² < 94.09

Find a number inbetween 90.2 and 94.09 and square root it for a non repeating decimal.
Irrational:
x = √(92.17)