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

Question

Responses

9–√
square root of 9

18−−√
square root of 18

169−−−√
square root of 169

78−−√
square root of 78

π
pi

915

Answer 1

Irrational numbers are numbers that cannot be expressed as a fraction of two integers. Let's analyze each of the given options to find the irrational numbers:

1. √9: This equals 3, which is a rational number.

2. √18: This cannot be simplified to a whole number or a simple fraction (its approximate value is 4.24), so it is an irrational number.

3. √169: This equals 13, which is a rational number.

4. √78: This cannot be simplified to a whole number or a simple fraction (its approximate value is 8.83), so it is an irrational number.

5. π: This is a well-known irrational number (approximately 3.14).

6. 915: This is a whole number, which is a rational number.

Therefore, the three irrational numbers among the options are:

• √18
• √78
• π