Question

What is a irrational number between 9.5 and 9.7

Answer 1

Answer:  $\large \sqrt{91}$

Step-by-step explanation:

An irrational number is a square root in its simplest form.

We want an irrational number between 9.5 and 9.7

                               $\huge 9.5$

square all sides     90.25 < x < 94.09

Answer: The square root of any number between 90.25 and 94.09 will work so there are an infinite number of possible answers. $\sqrt{91}, \sqrt{92}, \sqrt{93}, \sqrt{94}$

Answer 2

Step-by-step explanation:

x be an irrational number between 9.5 and 9.7.

So, we consider that  x = 9.562536941412578914...

Rounding to the nearest hundredth

x = 9.56.

9.56763865854637984..... (rounded 9.57)

irrational because it has no pattern