1. **State the problem:** Evaluate the expression $$\frac{1}{\sqrt{2}} + \pi$$ using the approximations $$\sqrt{2} = 1.414$$ and $$\pi = 3.141$$ up to three decimal places. 2. **Recall the formula and values:** - The expression is $$\frac{1}{\sqrt{2}} + \pi$$. - Given: $$\sqrt{2} = 1.414$$ and $$\pi = 3.141$$. 3. **Calculate each part:** - Calculate $$\frac{1}{\sqrt{2}} = \frac{1}{1.414} \approx 0.707$$. 4. **Add the values:** - $$0.707 + 3.141 = 3.848$$. 5. **Final answer:** - The value of $$\frac{1}{\sqrt{2}} + \pi$$ up to three decimal places is **3.848**.