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 the two columns.

Column A: \[ 0.5 + 34 = 34.5 \]

Column B: \[ 3 - \sqrt{25} = 3 - 5 = -2 \]

Now, let's examine the results:

  • Column A: \( 34.5 \) is a rational number.
  • Column B: \( -2 \) is also a rational number.

Both columns have rational sums. Therefore, the correct statement is: Statement #3: Column A and Column B both have rational sums.

The answer is Statement #3.