`sqrt(58.97)`=

Options

A. `7.679`
B. `7.68`
C. `7.6`
D. `7.7`

Answer

To solve the problem of finding the square root of 58.97 and expressing it with the correct number of significant figures, we can follow these steps:

### Step 1: Calculate the Square Root
We need to find the square root of 58.97. Using a calculator or a mathematical method, we can compute:

\[ \sqrt{58.97} \approx 7.6797 \]

### Step 2: Determine Significant Figures
Next, we must determine how many significant figures our answer should have. The number 58.97 has four significant figures (5, 8, 9, and 7).

### Step 3: Round the Result
Since our input has four significant figures, we need to round our result (7.6797) to four significant figures.

The number 7.6797 rounded to four significant figures is:

\[ 7.680 \]

### Step 4: Final Answer
Thus, the square root of 58.97, expressed with four significant figures, is:

\[ \sqrt{58.97} \approx 7.680 \]

### Summary
The final answer is 7.680.

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