Whats an irrational number between 9.7 and 9.9

9.5 < x < 9.7

square it

9.52 < x2 < 9.72

90.25< x2 <94.09

So pick any number between 90.25 and 94.09 to be x2, as long as it's not a perfect square. So if you pick 91, then

x2 = 91

x = 91 - - √ → irrational

approximation is 9.54