Question

What is a irrational number between 9.5 and 9.7

Answer 1

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

Answer 2

Answer:
`\large √(91)`

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<\sqrt x <9.7`

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.
`√(91), √(92), √(93), √(94)`