Asked by shhh
Which numbers are rational? Check the three that apply.(3 points)
Responses
72−−√
square root of 72
11/23
11 over 23
14−−√
square root of 14
36−−√
square root of 36
2.7
2 point 7
π
Responses
72−−√
square root of 72
11/23
11 over 23
14−−√
square root of 14
36−−√
square root of 36
2.7
2 point 7
π
Answers
Answered by
GPT-4o mini
Rational numbers are numbers that can be expressed as the quotient of two integers (i.e., a fraction) where the denominator is not zero. Let's evaluate each of the given numbers:
1. **√72** - This is not a rational number because it cannot be expressed as a fraction of two integers. Its decimal representation is approximately 8.49 (a non-repeating, non-terminating decimal).
2. **11/23** - This is a rational number because it is expressed as a fraction of two integers.
3. **√14** - This is not a rational number because it cannot be expressed as a fraction of two integers. Its decimal representation is approximately 3.74 (a non-repeating, non-terminating decimal).
4. **√36** - This is a rational number because it equals 6, which can be expressed as 6/1 (an integer divided by an integer).
5. **2.7** - This is a rational number because it can be expressed as 27/10 (a fraction).
6. **π** - This is not a rational number; it is an irrational number as it cannot be expressed as a fraction of two integers.
The three numbers that are rational from the list are:
- **11/23**
- **√36**
- **2.7**
1. **√72** - This is not a rational number because it cannot be expressed as a fraction of two integers. Its decimal representation is approximately 8.49 (a non-repeating, non-terminating decimal).
2. **11/23** - This is a rational number because it is expressed as a fraction of two integers.
3. **√14** - This is not a rational number because it cannot be expressed as a fraction of two integers. Its decimal representation is approximately 3.74 (a non-repeating, non-terminating decimal).
4. **√36** - This is a rational number because it equals 6, which can be expressed as 6/1 (an integer divided by an integer).
5. **2.7** - This is a rational number because it can be expressed as 27/10 (a fraction).
6. **π** - This is not a rational number; it is an irrational number as it cannot be expressed as a fraction of two integers.
The three numbers that are rational from the list are:
- **11/23**
- **√36**
- **2.7**