Question

Which numbers are rational? Check the three that apply.(3 points)Responses36−−√square root of 36112311 over 232.72 point 7πpi14−−√square root of 1472−−√

Answer 1

To determine which numbers are rational, let's analyze each choice:

1. **\(\sqrt{36}\)**: The square root of 36 is 6, which is a rational number since it can be expressed as the fraction \(6/1\).

2. **\(11/23\)**: This is already in the form of a fraction, which makes it rational.

3. **\(2.7\)**: This decimal can also be expressed as the fraction \(27/10\), so it is rational.

4. **\(\pi\)**: Pi is an irrational number and cannot be expressed as a fraction of two integers.

5. **\(\sqrt{14}\)**: The square root of 14 is also an irrational number because 14 is not a perfect square.

So, the three rational numbers from the list are:

- \(\sqrt{36}\)
- \(11/23\)
- \(2.7\)

Thus, the correct responses are:
- \( \sqrt{36} \)
- \( 11/23 \)
- \( 2.7 \)