Which numbers are irrational? Check the three that apply.

Question

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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!