Find the square root of `(461)/(8)`.

Answer

To find the square root of \( \frac{461}{8} \), we can follow these steps:

### Step 1: Divide 461 by 8
First, we need to perform the division:
\[ \frac{461}{8} = 57.625 \]

### Step 2: Find the square root of 57.625
Next, we need to find the square root of the result from Step 1:
\[ \sqrt{57.625} \]

### Step 3: Calculate the square root
Using a calculator or estimation methods, we find:
\[ \sqrt{57.625} \approx 7.591 \]

### Final Answer
Thus, the square root of \( \frac{461}{8} \) is approximately:
\[ \sqrt{\frac{461}{8}} \approx 7.591 \]

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