Add 22−−√3 + 322−−√ + 22−−√
.(1 point)
Responses
522−−√
5 Start Root 22 End Root
566−−√
5 Start Root 66 End Root
22−−√3 + 444−−√
root index 3 Start Root 22 End Root plus 4 Start Root 44 End Root
22−−√3 + 422−−√
.(1 point)
Responses
522−−√
5 Start Root 22 End Root
566−−√
5 Start Root 66 End Root
22−−√3 + 444−−√
root index 3 Start Root 22 End Root plus 4 Start Root 44 End Root
22−−√3 + 422−−√
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To add \( 2\sqrt{3} + 3\sqrt{2} + 2\sqrt{2} \), we first need to combine the like terms:
1. The terms \( 3\sqrt{2} \) and \( 2\sqrt{2} \) can be combined:
\[
3\sqrt{2} + 2\sqrt{2} = (3 + 2)\sqrt{2} = 5\sqrt{2}
\]
2. Now, including the other term:
\[
5\sqrt{2} + 2\sqrt{3}
\]
Thus, the final result is:
\[
2\sqrt{3} + 5\sqrt{2}
\]
None of the options perfectly reflect this sum. However, it seems like you are looking for an expression similar to \( 5\sqrt{2} + 2\sqrt{3} \).
If the answer choice contains \( 5\sqrt{2} \) and \( 2\sqrt{3} \) (or simply \( 2\sqrt{3} + 5\sqrt{2} \) under a different order), then that would be the correct response.
1. The terms \( 3\sqrt{2} \) and \( 2\sqrt{2} \) can be combined:
\[
3\sqrt{2} + 2\sqrt{2} = (3 + 2)\sqrt{2} = 5\sqrt{2}
\]
2. Now, including the other term:
\[
5\sqrt{2} + 2\sqrt{3}
\]
Thus, the final result is:
\[
2\sqrt{3} + 5\sqrt{2}
\]
None of the options perfectly reflect this sum. However, it seems like you are looking for an expression similar to \( 5\sqrt{2} + 2\sqrt{3} \).
If the answer choice contains \( 5\sqrt{2} \) and \( 2\sqrt{3} \) (or simply \( 2\sqrt{3} + 5\sqrt{2} \) under a different order), then that would be the correct response.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.