Question

Which numbers are irrational? Check the three that apply.



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(3 points)
Responses

718
7 over 18

1.7
1 point 7

16−−√
square root of 16

80−−√
square root of 80

π
pi

12−−√
square root of 12

Answer 1

To determine which numbers are irrational, let's analyze each option:

1. **718** - This is a whole number, hence it is rational.

2. **7 over 18** - This is a fraction representing a rational number.

3. **1.7** - This is a decimal that can be expressed as a fraction (17/10), thus it is rational.

4. **√16** - The square root of 16 is 4, which is rational.

5. **√80** - This can be simplified to 4√5. Since √5 is not a rational number, √80 is irrational.

6. **π** - Pi is a well-known irrational number as it cannot be expressed as a fraction.

7. **√12** - This can be simplified to 2√3. Since √3 is not a rational number, √12 is irrational.

In summary, the options that are irrational are:
- √80
- π
- √12

So, the three numbers that are irrational are:
1. √80
2. π
3. √12

You can check your choices to confirm!