Question

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−−√

Answer 1

are u sure

Answer 2

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−−√

Answer 3

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−−√

Answer 4

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−−√

Answer 5

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:

\[
10\sqrt{21}
\]

Answer 6

Yes, I am sure. Let's confirm the steps:

1. **Identify Like Terms**: In the expression \(3\sqrt{21} + 7\sqrt{21}\), both terms involve \(\sqrt{21}\).

2. **Combine the Coefficients**: You can add the coefficients (3 and 7) together:
\[
3 + 7 = 10
\]

3. **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!

Answer 7

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:

\[
2\sqrt{19}
\]

Answer 8

To simplify the expression \( \sqrt{22} \cdot 3 + 32\sqrt{2} + \sqrt{22} \), let's break it down step by step.

1. **Combine Like Terms**:
Notice that \( \sqrt{22} \cdot 3 \) can be written as \( 3\sqrt{22} \). The expression combines like terms \( 3\sqrt{22} + \sqrt{22} \).

2. **Add Coefficients**:
\[
3\sqrt{22} + \sqrt{22} = (3 + 1)\sqrt{22} = 4\sqrt{22}
\]
So now our expression looks like \( 4\sqrt{22} + 32\sqrt{2} \).

3. **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!

Answer 9

Let's clarify the expression you provided: \( 3\sqrt{22} + 3\sqrt{22} + \sqrt{22} \).

To simplify this, we can combine like terms:

1. Identify the terms:
- \( 3\sqrt{22} \)
- \( 3\sqrt{22} \)
- \( \sqrt{22} \)

2. 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!