If `sqrt(2) = 1.41` then `(1)/(sqrt(2))'= ?

Options

A. 0.075
B. 0.75
C. 0.44
D. 0.705

Answer

To solve the problem of finding the value of \( \frac{1}{\sqrt{2}} \) given that \( \sqrt{2} = 1.41 \), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the given value**: We know that \( \sqrt{2} = 1.41 \).

2. **Set up the expression**: We need to find \( \frac{1}{\sqrt{2}} \).

3. **Substitute the value of \( \sqrt{2} \)**: Replace \( \sqrt{2} \) in the expression:
\[ \frac{1}{\sqrt{2}} = \frac{1}{1.41} \]

4. **Perform the division**: Now we will calculate \( \frac{1}{1.41} \). To do this, we can use a calculator or perform long division. For simplicity, let's perform the division:
\[ \frac{1}{1.41} \approx 0.707 \]

5. **Conclusion**: Therefore, the value of \( \frac{1}{\sqrt{2}} \) is approximately \( 0.707 \).

### Final Answer:
\[ \frac{1}{\sqrt{2}} \approx 0.707 \]