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Evaluate the two sums and determine which statement is true. Enter the correct number associated with your response.

Column A Column B
0.5+34


3–√+25


Statement #1: Only Column A has a rational sum.

Statement #2: Only Column B has a rational sum.

Statement #3: Column A and Column B both have rational sums.

(1 point)
The simplified values of both columns indicate that Statement #
is true.

1 answer

Let's evaluate each sum in Columns A and B:

Column A:
\( 0.5 + 34 \)
This is equal to \( 34.5 \), which is a rational number.

Column B:
\( 3 - \sqrt{25} \)
Since \( \sqrt{25} = 5 \), we have: \( 3 - 5 = -2 \), which is also a rational number.

Now let's analyze the statements:

  • Statement #1: Only Column A has a rational sum. (This is false, as both sums are rational.)
  • Statement #2: Only Column B has a rational sum. (This is false, as both sums are rational.)
  • Statement #3: Column A and Column B both have rational sums. (This is true, as both sums are indeed rational.)

Therefore, the correct number associated with your response is 3.

Final Answer: Statement #3 is true.