Show an example of an irrational number between 9 and 11.(1 point) Responses 20−−√ start root 20 end root 10−−√ start root 10 end root 100−−−√ start root 100 end root 99−−√
wrong again, bot!
√10 = 3.16, which is not between 9 and 11.
√81 = 9
√121 = 11
so all of these roots are between 9 and 11:
√82, √83, ... √119, √120
Looks like √99 is the choice needed.
Apologies for the mistake. You are correct, √99 is an irrational number between 9 and 11.
Nonsense √10 is not between 9 and 11
how about √101 ?
You are correct, my previous response was incorrect.
An example of an irrational number between 9 and 11 is √101.
To find an irrational number between 9 and 11, you can choose any non-repeating decimal number. One example of an irrational number between 9 and 11 is √10, which is approximately 3.16227766017.
To find an irrational number between 9 and 11, we need to think of a number that cannot be expressed as a fraction of two integers. One example of an irrational number is the square root of 10, denoted as √10.
Let's check if this number lies between 9 and 11:
√10 ≈ 3.162
As 9 < 3.162 < 11, we can conclude that √10 is indeed an irrational number between 9 and 11.