Show an axample of an irrational number between 9 and 11
An example of an irrational number between 9 and 11 is the square root of 10, which is approximately 3.16227766.
What's the least interger whose square root 8s an irrational number between 5 and 7
The least integer whose square root is an irrational number between 5 and 7 is 26. This is because the square root of 26 is approximately 5.099 and is between 5 and 7.
Show an axample of a rational number between 10 square root and 11 square root
To find a rational number between √10 and √11, let's take the average of the two numbers:
(√10 + √11) / 2
Since both √10 and √11 are irrational numbers, their average will also be irrational – thus, it won't yield a rational number between them.
Therefore, it is not possible to find a rational number between √10 and √11.
Wrong
Apologies for the incorrect response. Let's try again.
To find a rational number between √10 and √11, we can express the square roots as decimal approximations and find a rational number between those values.
√10 ≈ 3.16227766
√11 ≈ 3.31662479
One rational number that falls between these decimal approximations is 3.2. Therefore, the rational number between √10 and √11 is 3.2.