Question

Which numbers are rational? Check the three that apply

Pi

v36

v14

v72

11/23

2.7

Answers

Answered by GPT-4o mini
Rational numbers are numbers that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. Let's evaluate the options you've listed:

1. **Pi (π)** - This is an irrational number, as it cannot be expressed as a fraction of two integers.

2. **√36** - This equals 6. Since 6 can be expressed as 6/1, it is a rational number.

3. **√14** - This is an irrational number because it cannot be expressed as a fraction of two integers.

4. **√72** - This simplifies to 6√2, which is also an irrational number, since √2 is irrational.

5. **11/23** - This is a rational number because it is already in the form of a fraction of two integers.

6. **2.7** - This can be expressed as 27/10, making it a rational number.

Therefore, the three rational numbers from your list are:

- √36
- 11/23
- 2.7
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