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.

Answer 1

Let's evaluate the sums in both columns:

Column A: \( 0.5 + 34 = 34.5 \)

Column B: For \( 3 - \sqrt{25} \): \( \sqrt{25} = 5 \) So, \( 3 - \sqrt{25} = 3 - 5 = -2 \)

Now we have the sums:

• Column A: \( 34.5 \) (which is rational)
• Column B: \( -2 \) (which is also rational)

Both sums in Columns A and B are rational.

Thus, the correct statement is:

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

Therefore, the answer to choose is 3.