Tankeya84idn
Answered

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This question appears to be incomplete or unclear. To ensure it makes sense, I will provide a more coherent context. If it originally referred to a mathematical problem involving square roots, it might look something like this:

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Choose the correct simplified form of the following expression:

[tex] \sqrt{128} \]

A. 12
B. 4
C. [tex] 4 \sqrt{2} [/tex]
D. [tex] 4 \sqrt{3} [/tex]
E. [tex] 8 \sqrt{2} [/tex]
F. 8
G. [tex] 8 \sqrt{3} [/tex]

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This format ensures clarity and maintains the mathematical context.

Sagot :

GinnyAnsweridn
Certainly! Let's work through the problem step-by-step and clarify the calculations and results for each part.

### Step-by-step Solution:

#### Given Values:
1. [tex]\( 12 \)[/tex]
2. [tex]\( 4 \)[/tex]
3. [tex]\( 4 \sqrt{2} \)[/tex]
4. [tex]\( 4 \sqrt{3} \)[/tex]
5. [tex]\( 8 \sqrt{2} \)[/tex]
6. [tex]\( 8 \)[/tex]
7. We need to calculate [tex]\( 8 \sqrt{3} \)[/tex]

#### Step 1: List the Given Values
We start by listing all the given values in numerical form, where possible:

[tex]\[ 12, \, 4, \, 4 \sqrt{2}, \, 4 \sqrt{3}, \, 8 \sqrt{2}, \, 8 \][/tex]

We will now calculate the numerical values of [tex]\( 4 \sqrt{2} \)[/tex], [tex]\( 4 \sqrt{3} \)[/tex], and [tex]\( 8 \sqrt{2} \)[/tex].

#### Step 2: Calculate the Values of Expressions involving Square Roots
1. [tex]\( 4 \sqrt{2} \)[/tex]
[tex]\[ 4 \sqrt{2} \approx 4 \times 1.41421356237 \approx 5.656854249492381 \][/tex]

2. [tex]\( 4 \sqrt{3} \)[/tex]
[tex]\[ 4 \sqrt{3} \approx 4 \times 1.73205080757 \approx 6.928203230275509 \][/tex]

3. [tex]\( 8 \sqrt{2} \)[/tex]
[tex]\[ 8 \sqrt{2} \approx 8 \times 1.41421356237 \approx 11.313708498984761 \][/tex]

Now, we include these calculated values in our list:

[tex]\[ 12, \, 4, \, 5.656854249492381, \, 6.928203230275509, \, 11.313708498984761, \, 8 \][/tex]

#### Step 3: Calculate [tex]\( 8 \sqrt{3} \)[/tex]
Finally, we calculate the value of [tex]\( 8 \sqrt{3} \)[/tex]:

1. [tex]\( 8 \sqrt{3} \)[/tex]
[tex]\[ 8 \sqrt{3} \approx 8 \times 1.73205080757 \approx 13.856406460551018 \][/tex]

We add this calculated value to our list of numbers:

[tex]\[ 12, \, 4, \, 5.656854249492381, \, 6.928203230275509, \, 11.313708498984761, \, 8, \, 13.856406460551018 \][/tex]

#### Final Result:
Thus, the final list of numbers and the calculated value are:

[tex]\[ \text{Final list of numbers: } [12, 4, 5.656854249492381, 6.928203230275509, 11.313708498984761, 8, 13.856406460551018] \][/tex]

The specific calculated value of [tex]\( 8 \sqrt{3} \)[/tex] is:
[tex]\[ 13.856406460551018 \][/tex]

By going through these steps, we were able to understand and calculate all the necessary values and complete the list correctly.
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