The answer of the calculation `(2.568xx5.8)/(4.168)` in significant figures will be :

Options

A. 3.579
B. 3.57
C. 3.57
D. 3.6

Explanation

To solve the calculation \((2.568 \times 5.8) / (4.168)\) and express the answer in the correct number of significant figures, we will follow these steps:

### Step 1: Perform the Calculation
First, we need to perform the multiplication and division as indicated in the expression.

1. Calculate \(2.568 \times 5.8\):
\[ 2.568 \times 5.8 = 14.8984 \]

2. Now, divide the result by \(4.168\):
\[ \frac{14.8984}{4.168} = 3.573 \]

### Step 2: Determine Significant Figures
Next, we need to determine how many significant figures to use in our final answer. The number of significant figures in each of the numbers involved in the calculation is as follows:

- \(2.568\) has **4 significant figures**.
- \(5.8\) has **2 significant figures**.
- \(4.168\) has **4 significant figures**.

When performing multiplication and division, the result should have the same number of significant figures as the measurement with the least number of significant figures. In this case, \(5.8\) has the least significant figures (2 significant figures).

### Step 3: Round the Result
Now we need to round our result \(3.573\) to 2 significant figures:

1. Identify the first two significant figures in \(3.573\), which are \(3\) and \(5\).
2. Look at the next digit (the third significant figure), which is \(7\). Since \(7\) is greater than \(5\), we round up the last significant figure (the \(5\)) by \(1\).

Thus, rounding \(3.573\) to 2 significant figures gives us:
\[ 3.6 \]

### Final Answer
The answer of the calculation \((2.568 \times 5.8) / (4.168)\) in significant figures is **3.6**.

---