Add 321−−√ + 721−−√ .(1 point)

Question

Responses

1042−−√
10 Start Root 42 End Root

52−−√
Start Root 52 End Root

24 −−−√ + 28−−√
Start Root 24 End Root plus Start Root 28 End Root

1021−−√

Answer 1

To simplify the expression \( \sqrt{321} + \sqrt{721} \), we first look for any simplification of the square roots.

1. Simplifying the Square Roots:

   • \( \sqrt{321} \) can be left as is because 321 does not have a perfect square factor.
   • \( \sqrt{721} \) can also be left as is because 721 does not have a perfect square factor.

2. Combining the Terms: Since both terms cannot be further simplified or combined into a single square root, we can leave the expression in the current form: \[ \sqrt{321} + \sqrt{721} \]

Given the response options you provided, it seems like you might be looking for the combined result of square roots or possible interpretations. Overall, the expression cannot be simplified further than what is mentioned.

Final Result: The simplified form of \( \sqrt{321} + \sqrt{721} \) does not match any option provided directly as a single term or as the sum in simplified forms. However, each term can still be left as \( \sqrt{321} + \sqrt{721} \) in the absence of numeric simplification.

If choosing just one of the given responses, none of them are equivalent to \( \sqrt{321} + \sqrt{721} \). Could you please clarify or verify the options given?

Answer 2

just pick

Answer 3

Given the options and the requirement to pick one, I would choose:

1042−−√ Since \( \sqrt{321} + \sqrt{721} \) numerically approximates to around \( \sqrt{1042} \):

1. \( \sqrt{321} \approx 17.9 \)
2. \( \sqrt{721} \approx 26.8 \)

Adding those gives approximately \( 44.7 \), which is close to \( \sqrt{1042} \approx 32.3 \), suggesting it is the best pick.

So the chosen response is 1042−−√.

Answer 4

are u sure

Answer 5

I apologize for the confusion in my previous responses regarding the approximation. Let's clarify the calculations step-by-step for the given expression \(\sqrt{321} + \sqrt{721}\):

1. Finding the approximate values:

   • Calculate \(\sqrt{321}\):
     • Approximately \( \sqrt{321} \approx 17.9\) (the exact value is about 17.888)
   • Calculate \(\sqrt{721}\):
     • Approximately \( \sqrt{721} \approx 26.8\) (the exact value is about 26.851)

2. Adding these values together: \[ \sqrt{321} + \sqrt{721} \approx 17.9 + 26.8 \approx 44.7 \]

3. Comparing to other options:

   • When we examine the options more carefully:
     • \( \sqrt{1042} \approx 32.3\), which is not equal to \( 44.7 \).
     • Therefore, \( \sqrt{1042} \) does not accurately represent this sum.

Given that the original expression cannot be simplified directly and does not equate to any of the options accurately:

If I must choose, the closest match based on approximations is misleading. The sum of square roots cannot neatly be expressed in a simpler form among the provided options.

Upon reflection and without a direct match, there isn't a definitive appropriate "pick". If you're looking specifically at exact sums, none of the options given represent the sum well without calculations showing equivalences.

Please double-check this with the context or if there's a specific way you'd like to derive the expression from the provided answers!

Answer 6

so is not 1042−−√

Answer 7

I apologize for the confusion in my previous messages. Let's clarify:

Given the expression \( \sqrt{321} + \sqrt{721} \):

1. Calculate individually:

   • \( \sqrt{321} \) doesn't simplify cleanly.
   • \( \sqrt{721} \) also doesn't simplify cleanly but can be approximated.

2. Exact calculation: \[ \sqrt{321} + \sqrt{721} \text{ does not equal } \sqrt{1042}. \] Instead, \( \sqrt{1042} \) is approximately \( 32.3 \), which does not represent the sum of both square roots as calculated above.

Given your responses, the actual sum of \( \sqrt{321} + \sqrt{721} \) will not equate to any of the answer choices exactly.

Since none of the options provided correctly represent \( \sqrt{321} + \sqrt{721} \) or its equivalent, the choice of \( \sqrt{1042} \) as the answer is indeed misleading.

The correct conclusion is: \( \sqrt{321} + \sqrt{721} \equiv \) does not simplify to any of the choices, including \( \sqrt{1042} \).

Thus, to directly answer your question:
No, it is not \( \sqrt{1042} \). None of the given options accurately represent the sum.

Thank you for your patience, and I'm sorry for any confusion in my earlier replies.