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

Question

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