Question

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 #

Answer 1

To evaluate the sums in Column A and Column B:

**Column A:**
\[
0.5 + 34 = 34.5
\]
This is a rational number.

**Column B:**
\[
\sqrt{3} + 25
\]
Here, \(\sqrt{3}\) is an irrational number, and adding it to the rational number 25 gives us an irrational sum.

So, we have:
- Column A: Rational sum (34.5)
- Column B: Irrational sum (\(\sqrt{3} + 25\))

Therefore, based on the evaluations:
- **Statement #1:** Only Column A has a rational sum. (True)
- **Statement #2:** Only Column B has a rational sum. (False)
- **Statement #3:** Column A and Column B both have rational sums. (False)

Thus, the correct statement is Statement #1.

The answer to enter is: **1**.