Asked by Puppyhood
Add 2√8+3√8
.(1 point)
.(1 point)
Answers
Answered by
GPT-4o mini
To add \(2\sqrt{8} + 3\sqrt{8}\), you can factor out \(\sqrt{8}\):
\[
2\sqrt{8} + 3\sqrt{8} = (2 + 3)\sqrt{8} = 5\sqrt{8}
\]
Now, you can also simplify \(\sqrt{8}\):
\[
\sqrt{8} = \sqrt{4 \times 2} = 2\sqrt{2}
\]
Substituting this back in gives:
\[
5\sqrt{8} = 5(2\sqrt{2}) = 10\sqrt{2}
\]
So, the final answer is:
\[
10\sqrt{2}
\]
\[
2\sqrt{8} + 3\sqrt{8} = (2 + 3)\sqrt{8} = 5\sqrt{8}
\]
Now, you can also simplify \(\sqrt{8}\):
\[
\sqrt{8} = \sqrt{4 \times 2} = 2\sqrt{2}
\]
Substituting this back in gives:
\[
5\sqrt{8} = 5(2\sqrt{2}) = 10\sqrt{2}
\]
So, the final answer is:
\[
10\sqrt{2}
\]
Answered by
GPT-4o mini
Let's carefully re-evaluate the expression \(2\sqrt{8} + 3\sqrt{8}\).
1. Both terms have the same radical, \(\sqrt{8}\). We can combine them:
\[
2\sqrt{8} + 3\sqrt{8} = (2 + 3)\sqrt{8} = 5\sqrt{8}
\]
2. Now, let's simplify \(\sqrt{8}\):
\[
\sqrt{8} = \sqrt{4 \times 2} = \sqrt{4} \cdot \sqrt{2} = 2\sqrt{2}
\]
3. Substitute this back into our expression:
\[
5\sqrt{8} = 5(2\sqrt{2}) = 10\sqrt{2}
\]
So, the correct answer is indeed:
\[
10\sqrt{2}
\]
If you believe there's a mistake, please clarify what you think is incorrect!
1. Both terms have the same radical, \(\sqrt{8}\). We can combine them:
\[
2\sqrt{8} + 3\sqrt{8} = (2 + 3)\sqrt{8} = 5\sqrt{8}
\]
2. Now, let's simplify \(\sqrt{8}\):
\[
\sqrt{8} = \sqrt{4 \times 2} = \sqrt{4} \cdot \sqrt{2} = 2\sqrt{2}
\]
3. Substitute this back into our expression:
\[
5\sqrt{8} = 5(2\sqrt{2}) = 10\sqrt{2}
\]
So, the correct answer is indeed:
\[
10\sqrt{2}
\]
If you believe there's a mistake, please clarify what you think is incorrect!
Answered by
GPT-4o mini
Let’s reevaluate the expression step by step thoroughly:
Given expression:
\[
2\sqrt{8} + 3\sqrt{8}
\]
### Step 1: Combine like terms
Since both terms involve \(\sqrt{8}\), we can combine them:
\[
(2 + 3)\sqrt{8} = 5\sqrt{8}
\]
### Step 2: Simplify \(\sqrt{8}\)
Next, we simplify \(\sqrt{8}\):
\[
\sqrt{8} = \sqrt{4 \times 2} = \sqrt{4}\sqrt{2} = 2\sqrt{2}
\]
### Step 3: Substitute back into the equation
Now substitute back:
\[
5\sqrt{8} = 5(2\sqrt{2}) = 10\sqrt{2}
\]
### Conclusion
The result of \(2\sqrt{8} + 3\sqrt{8}\) is:
\[
10\sqrt{2}
\]
If there is a different context or specific mistake you're referring to, please let me know. However, the calculations above are accurate for the expression provided.
Given expression:
\[
2\sqrt{8} + 3\sqrt{8}
\]
### Step 1: Combine like terms
Since both terms involve \(\sqrt{8}\), we can combine them:
\[
(2 + 3)\sqrt{8} = 5\sqrt{8}
\]
### Step 2: Simplify \(\sqrt{8}\)
Next, we simplify \(\sqrt{8}\):
\[
\sqrt{8} = \sqrt{4 \times 2} = \sqrt{4}\sqrt{2} = 2\sqrt{2}
\]
### Step 3: Substitute back into the equation
Now substitute back:
\[
5\sqrt{8} = 5(2\sqrt{2}) = 10\sqrt{2}
\]
### Conclusion
The result of \(2\sqrt{8} + 3\sqrt{8}\) is:
\[
10\sqrt{2}
\]
If there is a different context or specific mistake you're referring to, please let me know. However, the calculations above are accurate for the expression provided.
Answered by
GPT-4o mini
I apologize for the frustration, and I appreciate your patience. Let's go through the calculation again from scratch without jumping to conclusions.
Given expression:
\[
2\sqrt{8} + 3\sqrt{8}
\]
### Step 1: Combine like terms
You can combine the terms since they have the same radical:
\[
(2 + 3)\sqrt{8} = 5\sqrt{8}
\]
### Step 2: Write \(\sqrt{8}\) in its simplest form
Now, let's simplify \(\sqrt{8}\):
\[
\sqrt{8} = \sqrt{4 \times 2} = 2\sqrt{2}
\]
### Step 3: Substitute back into the equation
So, substitute this back:
\[
5\sqrt{8} = 5(2\sqrt{2}) = 10\sqrt{2}
\]
### Final Answer
The answer is:
\[
10\sqrt{2}
\]
If this is not what you were looking for or if there is a specific part that you think is incorrect, please clarify, and I’ll do my best to address it accurately!
Given expression:
\[
2\sqrt{8} + 3\sqrt{8}
\]
### Step 1: Combine like terms
You can combine the terms since they have the same radical:
\[
(2 + 3)\sqrt{8} = 5\sqrt{8}
\]
### Step 2: Write \(\sqrt{8}\) in its simplest form
Now, let's simplify \(\sqrt{8}\):
\[
\sqrt{8} = \sqrt{4 \times 2} = 2\sqrt{2}
\]
### Step 3: Substitute back into the equation
So, substitute this back:
\[
5\sqrt{8} = 5(2\sqrt{2}) = 10\sqrt{2}
\]
### Final Answer
The answer is:
\[
10\sqrt{2}
\]
If this is not what you were looking for or if there is a specific part that you think is incorrect, please clarify, and I’ll do my best to address it accurately!
Answered by
GPT-4o mini
I apologize for any confusion in my previous responses. Let's carefully address the given expression \(2\sqrt{8} + 3\sqrt{8}\) step by step.
1. **Identify the Like Terms:** In the expression \(2\sqrt{8} + 3\sqrt{8}\), both terms include \(\sqrt{8}\).
2. **Combine the Coefficients:** You simply add the coefficients of the like terms:
\[
2\sqrt{8} + 3\sqrt{8} = (2 + 3)\sqrt{8} = 5\sqrt{8}
\]
3. **Simplify \(\sqrt{8}\)**: We can simplify \(\sqrt{8}\) as follows:
\[
\sqrt{8} = \sqrt{4 \times 2} = \sqrt{4} \times \sqrt{2} = 2\sqrt{2}
\]
4. **Substituting Back**: Replace \(\sqrt{8}\) with \(2\sqrt{2}\) in the combined expression:
\[
5\sqrt{8} = 5(2\sqrt{2}) = 10\sqrt{2}
\]
The final result is:
\[
10\sqrt{2}
\]
If the expression or the problem context is different from what I've understood, please clarify further, and I'll address it correctly. Thank you for your understanding, and I am here to help!
1. **Identify the Like Terms:** In the expression \(2\sqrt{8} + 3\sqrt{8}\), both terms include \(\sqrt{8}\).
2. **Combine the Coefficients:** You simply add the coefficients of the like terms:
\[
2\sqrt{8} + 3\sqrt{8} = (2 + 3)\sqrt{8} = 5\sqrt{8}
\]
3. **Simplify \(\sqrt{8}\)**: We can simplify \(\sqrt{8}\) as follows:
\[
\sqrt{8} = \sqrt{4 \times 2} = \sqrt{4} \times \sqrt{2} = 2\sqrt{2}
\]
4. **Substituting Back**: Replace \(\sqrt{8}\) with \(2\sqrt{2}\) in the combined expression:
\[
5\sqrt{8} = 5(2\sqrt{2}) = 10\sqrt{2}
\]
The final result is:
\[
10\sqrt{2}
\]
If the expression or the problem context is different from what I've understood, please clarify further, and I'll address it correctly. Thank you for your understanding, and I am here to help!
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