`sqrt(57.97)` is

Options

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

Answer

To solve the problem of finding the square root of \(57.97\) and determining its significant figures, we can follow these steps:

### Step 1: Calculate the Square Root
We need to find \(\sqrt{57.97}\). Using a calculator or estimating, we find:

\[ \sqrt{57.97} \approx 7.6158 \]

### Step 2: Determine Significant Figures
Next, we need to consider the significant figures in the original number \(57.97\). The number \(57.97\) has four significant figures (5, 7, 9, and 7).

### Step 3: Round the Result
Since the original number has four significant figures, we need to round our result \(7.6158\) to four significant figures.

Rounding \(7.6158\) to four significant figures gives us:

\[ 7.616 \]

### Final Answer
Thus, the square root of \(57.97\) rounded to four significant figures is:

\[ \sqrt{57.97} \approx 7.616 \]

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