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

π
pi

3
3

3–√
Start Root 3 End Root

30

1 answer

In order to prove that the sum of two rational numbers is rational, the value you should use for \( a \) is 3.

The rationale is that 3 is a rational number (it can be expressed as a ratio of integers, namely \( \frac{3}{1} \)). The other options provided (π, \( \sqrt{3} \), and 30) are not appropriate for proving the statement regarding rational numbers:

  • π is an irrational number.
  • \( \sqrt{3} \) is also an irrational number.
  • 30 is a rational number, but it doesn't necessarily relate to the expression \( a + cbd \) in the same way as 3 does.

Thus, using 3 as the value for \( a \) would help you establish the rational nature of the sum.