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

Question

Responses

11/23

2.7

π

72−−√

14−−√

36−−√

Answer 1

Rational numbers are numbers that can be expressed as the quotient of two integers (where the denominator is not zero).

Let's analyze the given numbers:

1. 11/23 - This is a fraction of two integers, so it is a rational number.
2. 2.7 - This can be expressed as 27/10, which is a fraction of two integers, so it is a rational number.
3. π - This is an irrational number; it cannot be expressed as a fraction of two integers, so it is not rational.
4. √72 - This can be simplified to 6√2, where √2 is irrational. Thus, √72 is also irrational, so it is not rational.
5. √14 - This is also an irrational number, so it is not rational.
6. √36 - This simplifies to 6, which is an integer and can be expressed as 6/1, so it is a rational number.

Thus, the rational numbers from the list are:

• 11/23
• 2.7
• √36

So the three that apply are: 11/23, 2.7, and √36.