`sqrt(1008)/sqrt7 = ?`

Options

A. 12.75
B. 11.68
C. 12
D. 13.26

Answer

To solve the expression \(\frac{\sqrt{1008}}{\sqrt{7}}\), we can simplify it step by step.

### Step 1: Combine the square roots
Using the property of square roots that states \(\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}\), we can rewrite the expression as:
\[ \frac{\sqrt{1008}}{\sqrt{7}} = \sqrt{\frac{1008}{7}} \]

### Step 2: Divide 1008 by 7
Next, we need to calculate \(\frac{1008}{7}\):
\[ 1008 \div 7 = 144 \]

### Step 3: Take the square root of 144
Now we can find the square root of 144:
\[ \sqrt{144} = 12 \]

### Final Answer
Thus, the value of \(\frac{\sqrt{1008}}{\sqrt{7}}\) is:
\[ \boxed{12} \]

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