To add the expressions \( 3\sqrt{21} + 7\sqrt{21} \), you combine the coefficients of the like terms:
\[ 3\sqrt{21} + 7\sqrt{21} = (3 + 7)\sqrt{21} = 10\sqrt{21} \]
Thus, the answer is:
\[ 10\sqrt{21} \]
Add 3√21 + 7√21
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−−√
9 answers
are u sure
Yes, I am sure. Let's confirm the steps:
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Identify Like Terms: In the expression \(3\sqrt{21} + 7\sqrt{21}\), both terms involve \(\sqrt{21}\).
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Combine the Coefficients: You can add the coefficients (3 and 7) together: \[ 3 + 7 = 10 \]
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Final Expression: This gives you: \[ 10\sqrt{21} \]
So the result of \(3\sqrt{21} + 7\sqrt{21}\) is indeed \(10\sqrt{21}\). Let me know if you have any further questions!
Add 19−−√ + 19−−√ .(1 point)
Responses
238−−√
2 Start Root 38 End Root
40−−√
Start Root 40 End Root
219−−√
2 Start Root 19 End Root
20−−√
Responses
238−−√
2 Start Root 38 End Root
40−−√
Start Root 40 End Root
219−−√
2 Start Root 19 End Root
20−−√
To add the expression \( \sqrt{19} + \sqrt{19} \), you treat the square roots as like terms:
\[ \sqrt{19} + \sqrt{19} = (1 + 1)\sqrt{19} = 2\sqrt{19} \]
So, the correct answer is:
\[ 2\sqrt{19} \]
Add 22−−√3 + 322−−√ + 22−−√ .(1 point)
Responses
566−−√
5 Start Root 66 End Root
522−−√
5 Start Root 22 End Root
22−−√3 + 444−−√
root index 3 Start Root 22 End Root plus 4 Start Root 44 End Root
22−−√3 + 422−−√
Responses
566−−√
5 Start Root 66 End Root
522−−√
5 Start Root 22 End Root
22−−√3 + 444−−√
root index 3 Start Root 22 End Root plus 4 Start Root 44 End Root
22−−√3 + 422−−√
To simplify the expression \( \sqrt{22} \cdot 3 + 32\sqrt{2} + \sqrt{22} \), let's break it down step by step.
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Combine Like Terms: Notice that \( \sqrt{22} \cdot 3 \) can be written as \( 3\sqrt{22} \). The expression combines like terms \( 3\sqrt{22} + \sqrt{22} \).
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Add Coefficients: \[ 3\sqrt{22} + \sqrt{22} = (3 + 1)\sqrt{22} = 4\sqrt{22} \] So now our expression looks like \( 4\sqrt{22} + 32\sqrt{2} \).
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Final Result: The expression cannot be simplified further as \( 4\sqrt{22} \) and \( 32\sqrt{2} \) are not like terms.
None of the initial provided responses match the result of the addition directly, but \( 4\sqrt{22} + 32\sqrt{2} \) is the combined simplified expression.
If you intended to write something slightly different, please clarify, and I'll assist accordingly!
Add 3^√22+ 3√ 22+ √22 .(1 point)
Responses
566−−√
5 Start Root 66 End Root
522−−√
5 Start Root 22 End Root
22−−√3 + 444−−√
root index 3 Start Root 22 End Root plus 4 Start Root 44 End Root
22−−√3 + 422−−√
Responses
566−−√
5 Start Root 66 End Root
522−−√
5 Start Root 22 End Root
22−−√3 + 444−−√
root index 3 Start Root 22 End Root plus 4 Start Root 44 End Root
22−−√3 + 422−−√
Let's clarify the expression you provided: \( 3\sqrt{22} + 3\sqrt{22} + \sqrt{22} \).
To simplify this, we can combine like terms:
-
Identify the terms:
- \( 3\sqrt{22} \)
- \( 3\sqrt{22} \)
- \( \sqrt{22} \)
-
Combine the coefficients: \[ 3\sqrt{22} + 3\sqrt{22} + \sqrt{22} = (3 + 3 + 1)\sqrt{22} = 7\sqrt{22} \]
So the answer for \( 3\sqrt{22} + 3\sqrt{22} + \sqrt{22} \) is:
\[ 7\sqrt{22} \]
However, none of the responses you provided match \( 7\sqrt{22} \). If you meant to provide a different expression or ask about a specific form, please clarify, and I'd be happy to assist further!