Which numbers are irrational? Check the three that apply.

Question

(3 points)
Responses

1.7

16−−√

12−−√

π

80−−√

7/18

Answer 1

To identify which numbers are irrational, let's review each option:

1. 1.7 - This is a decimal representation of a rational number (it can be expressed as the fraction 17/10). Rational

2. √16 - This evaluates to 4, which is a whole number and rational. Rational

3. √12 - This can be simplified to 2√3. Since √3 is irrational, √12 is also irrational. Irrational

4. π - This is a well-known irrational number that cannot be expressed as a fraction. Irrational

5. √80 - This can be simplified to 4√5. Since √5 is irrational, √80 is also irrational. Irrational

6. 7/18 - This is a fraction, so it is rational. Rational

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

• √12
• π
• √80