Question

Which numbers are rational? Check the three that apply.(3 points)
Responses

36−−√
square root of 36

1123
11 over 23

72−−√
square root of 72

2.7
2 point 7

14−−√
square root of 14

π

Answer 1

To determine which numbers are rational, we need to identify numbers that can be expressed as a fraction of two integers.

1. **√36 (square root of 36)**: This is 6, which is a rational number.
2. **11/23**: This is a fraction of two integers, which means it is a rational number.
3. **√72 (square root of 72)**: This is approximately 8.485, which is an irrational number since it cannot be expressed as a fraction of two integers.
4. **2.7**: This can be expressed as 27/10 (a fraction), so it is a rational number.
5. **√14 (square root of 14)**: This is approximately 3.742, which is an irrational number.
6. **π**: This is a well-known irrational number.

The rational numbers from the options are:

- √36 (which equals 6)
- 11/23
- 2.7

So the three that apply are:
1. √36
2. 11/23
3. 2.7