Which numbers are irrational? Check the three that apply.

Question

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(3 points)
Responses

80−−√
square root of 80

16−−√
square root of 16

1.7
1 point 7

π
pi

718
7 over 18

12−−√

Answer 1

To determine which numbers are irrational among the given options, we need to identify numbers that cannot be expressed as a fraction of two integers. Here’s the analysis of each choice:

1. √80: This is irrational because the square root of 80 cannot be simplified to a fraction (it simplifies to 4√5, where √5 is irrational).

2. √16: This is rational because it equals 4, which is an integer.

3. 1.7: This is rational because it can be expressed as the fraction 17/10.

4. π: This is irrational; it cannot be expressed as a simple fraction.

5. 7/18: This is rational because it is already in the form of a fraction.

6. √12: This is irrational as well because it simplifies to 2√3, and √3 is irrational.

Based on this analysis, the three numbers that are irrational are:

• √80
• π
• √12

Make sure to click the check answer button after selecting these options!