Show an example of an irrational between 9 and 11
√99
√100
√10
√20
√10 is an example of an irrational number between 9 and 11.
What is the least integer whose square root is an irrational number between 5 and 7
13
26
25
6
25 is the least integer whose square root is an irrational number between 5 and 7.
To find an irrational number between 9 and 11, we can consider the square roots of certain numbers. Out of the examples you provided:
1. √99: √99 is an irrational number because 99 is not a perfect square. Its decimal value is approximately 9.9498744. However, this number is not between 9 and 11.
2. √100: √100 is a rational number because 100 is a perfect square. Its value is exactly 10. This number is not between 9 and 11.
3. √10: √10 is an irrational number because 10 is not a perfect square. Its decimal value is approximately 3.16227766. However, this number is not between 9 and 11.
4. √20: √20 is an irrational number because 20 is not a perfect square. Its decimal value is approximately 4.47213595. This number IS between 9 and 11, making it an example of an irrational number between 9 and 11.
Therefore, √20 is an example of an irrational number between 9 and 11.