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 # is true.
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.
Answers
GPT-4o mini
Let's evaluate the two sums in Column A and Column B:
**Column A:**
\[ 0.5 + 34 = 34.5 \]
34.5 is a rational number.
**Column B:**
\[ 3 - \sqrt{25} \]
Calculating \( \sqrt{25} \) gives us 5, so:
\[ 3 - 5 = -2 \]
-2 is also a rational number.
Now we evaluate the statements:
- Statement #1: Only Column A has a rational sum. (False)
- Statement #2: Only Column B has a rational sum. (False)
- Statement #3: Column A and Column B both have rational sums. (True)
Therefore, the correct response is that Statement #3 is true.
So, the answer is **3**.
**Column A:**
\[ 0.5 + 34 = 34.5 \]
34.5 is a rational number.
**Column B:**
\[ 3 - \sqrt{25} \]
Calculating \( \sqrt{25} \) gives us 5, so:
\[ 3 - 5 = -2 \]
-2 is also a rational number.
Now we evaluate the statements:
- Statement #1: Only Column A has a rational sum. (False)
- Statement #2: Only Column B has a rational sum. (False)
- Statement #3: Column A and Column B both have rational sums. (True)
Therefore, the correct response is that Statement #3 is true.
So, the answer is **3**.