If `sqrt(7) = 2.646` then `(1)/(sqrt(7))` =?

Options

A. `0.375`
B. `0.378`
C. `0.441`
D. None of these

Answer

To solve the problem of finding \( \frac{1}{\sqrt{7}} \) given that \( \sqrt{7} = 2.646 \), we can follow these steps:

### Step 1: Write the expression
We need to find \( \frac{1}{\sqrt{7}} \).

### Step 2: Substitute the value of \( \sqrt{7} \)
Substituting the given value, we have:
\[ \frac{1}{\sqrt{7}} = \frac{1}{2.646} \]

### Step 3: Perform the division
Now, we will perform the division:
\[ \frac{1}{2.646} \approx 0.378 \]

### Step 4: Conclusion
Thus, the value of \( \frac{1}{\sqrt{7}} \) is approximately \( 0.378 \).