When proving that the sum of two rational numbers is rational in the expression a+cbd

Question

, which value could be used for a in order to apply the proof?(1 point)
Responses

3
3

3–√
Start Root 3 End Root

π
pi

30

Answer 1

To prove that the sum of two rational numbers is rational, you first need to ensure that the number you're using for \( a \) is rational. Rational numbers are defined as numbers that can be expressed as the quotient of two integers (where the denominator is not zero).

From the options provided:

1. 3 - This is a rational number (it can be expressed as \( \frac{3}{1} \)).
2. √3 - This is not a rational number; it's an irrational number.
3. π - This is also not a rational number; it's an irrational number.
4. 30 - This is a rational number (it can be expressed as \( \frac{30}{1} \)).

Therefore, the values that could be used for \( a \) in order to apply the proof that the sum of two rational numbers is rational are 3 or 30.

If you are looking for just one answer, either 3 or 30 would work, but typically you would just provide the first option, which is 3.