Question

Which numbers are rational ? (3 answers)
Square root of 72
Square root of 36
Square root of 14
Pi
2.7
11/23

Answer 1

To determine which numbers are rational, we need to recall that a rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Let's analyze the numbers you've provided:

1. **Square root of 72**: This is approximately 8.485, and it cannot be expressed as a fraction of two integers, so it's not rational.

2. **Square root of 36**: This simplifies to 6, which can be expressed as \( \frac{6}{1} \), so it is rational.

3. **Square root of 14**: This is approximately 3.742, and it cannot be expressed as a fraction of two integers, so it's not rational.

4. **Pi (π)**: Pi is an irrational number, so it is not rational.

5. **2.7**: This can be expressed as \( \frac{27}{10} \), so it is rational.

6. **11/23**: This is already a fraction of two integers, so it is rational.

Based on the above analysis, the three rational numbers from your list are:

- Square root of 36
- 2.7
- 11/23