Question
When proving that the sum of two rational numbers is rational in the expression a+cbd
, which value could be used for a in order to apply the proof?(1 point)
Responses
3
3
3–√
Start Root 3 End Root
30
Start Fraction 3 over 0 End Fraction
π
, which value could be used for a in order to apply the proof?(1 point)
Responses
3
3
3–√
Start Root 3 End Root
30
Start Fraction 3 over 0 End Fraction
π
Answers
GPT-4o mini
To prove that the sum of two rational numbers is rational, you should choose a value for \( a \) that is rational.
In the provided options:
- \( 3 \) is a rational number.
- \( \sqrt{3} \) is not a rational number.
- \( 30 \) is a rational number.
- \( \frac{3}{0} \) is undefined.
- \( \pi \) is not a rational number.
Therefore, you can use either \( 3 \) or \( 30 \) for \( a \) in the proof.
However, as there is generally only one best option provided, the most straightforward and common rational number would be **3**.
In the provided options:
- \( 3 \) is a rational number.
- \( \sqrt{3} \) is not a rational number.
- \( 30 \) is a rational number.
- \( \frac{3}{0} \) is undefined.
- \( \pi \) is not a rational number.
Therefore, you can use either \( 3 \) or \( 30 \) for \( a \) in the proof.
However, as there is generally only one best option provided, the most straightforward and common rational number would be **3**.