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

Question

Responses

14−−√
square root of 14

2.7
2 point 7

36−−√
square root of 36

72−−√
square root of 72

1123
11 over 23

π

Answer 1

To determine which numbers are rational, we look for numbers that can be expressed as a fraction (where both the numerator and denominator are integers, and the denominator is not zero).

Let's evaluate each number:

1. √14: This is an irrational number because it cannot be expressed as a fraction of two integers.

2. 2.7: This is a rational number because it can be expressed as 27/10.

3. √36: This is a rational number because it equals 6, which can be expressed as 6/1.

4. √72: This is an irrational number because it cannot be expressed as a simple fraction (approximately 8.485).

5. 11/23: This is a rational number because it is already expressed as a fraction of two integers.

6. π: This is an irrational number because it cannot be expressed as a fraction of two integers.

From this evaluation, the numbers that are rational are:

• 2.7
• √36
• 11/23

So, the three that apply are 2.7, √36, and 11/23.