Question

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