To prove that the sum of two rational numbers is rational, you should choose a rational number for \( a \).
Among the options provided:
- \( \sqrt{3} \) (not rational)
- \( \pi \) (not rational)
- \( 3 \) (rational)
- \( 30 \) (rational)
The appropriate values for \( a \) would be \( 3 \) or \( 30 \), as they are both rational numbers.
If you need to select one, you can select either \( 3 \) or \( 30 \).
However, for the sum of \( a + c \cdot b \cdot d \) to be rational, \( a \) must be rational, hence any rational number from the options is acceptable. If you need to pick just one, selecting \( 3 \) would be a solid choice.
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