Question

Which numbers are irrational? Select the three that apply.(3 points)
Responses

169−−−√
square root of 169

78−−√
square root of 78

9–√
square root of 9

π
pi

18−−√
square root of 18

915

Answer 1

To determine which of the provided numbers are irrational, let's evaluate each option:

1. **169−−−√ (square root of 169)**: This is equal to 13, which is a rational number.
2. **78−−√ (square root of 78)**: The square root of 78 is irrational because 78 is not a perfect square.
3. **9–√ (square root of 9)**: This equals 3, which is a rational number.
4. **π (pi)**: Pi is an irrational number.
5. **18−−√ (square root of 18)**: The square root of 18 is irrational because 18 is not a perfect square.
6. **915**: This is a whole number and hence rational.

Based on this analysis, the three irrational numbers are:

- \(\sqrt{78}\)
- \(\pi\)
- \(\sqrt{18}\)

So the correct selections are: \(\sqrt{78}\), \(\pi\), and \(\sqrt{18}\).