Show an example of an irrational number between 9 and 11.
Responses
99−−√
100−−−√
10−−√
20−−√
An example of an irrational number between 9 and 11 is 10−−√.
wrong
Apologies for the incorrect response. An example of an irrational number between 9 and 11 would be 10.5√.
To find an irrational number between 9 and 11, we can take the square root of a number between the squares of 9 and 11.
Let's find the square of 9 and 11:
9^2 = 81
11^2 = 121
Now, let's take the square root of a number between 81 and 121.
The square root of 100 is 10, which is between 9 and 11, but it is a rational number.
Instead, let's take the square root of a number such as 99:
√99 is an irrational number between 9 and 11.