Which numbers are rational? Check the three that apply.(3 points)

Question

Responses

36−−√
square root of 36

π
pi

72−−√
square root of 72

2.7
2 point 7

14−−√
square root of 14

11/23

Answer 1

To determine which numbers are rational, we need to identify if the numbers can be expressed as a fraction of two integers. The following numbers are rational:

1. Square root of 36 (√36) = 6, which is rational since it can be expressed as 6/1.
2. 2.7 is also rational because it can be expressed as 27/10.
3. 11/23 is rational as it is already in the form of a fraction (p/q) where both p and q are integers.

The other options are:

• π (pi) is not rational because it cannot be expressed as a fraction of two integers.
• Square root of 72 (√72) simplifies to 6√2, which is not a rational number because √2 is irrational.
• Square root of 14 (√14) is also not rational as it cannot be expressed as a fraction.

Thus, the three rational numbers are:

1. Square root of 36 (6)
2. 2.7
3. 11/23