https://r2.erweima.ai/mathbot/image/1718352206822a938ndan.png

What's the value of the equation in the image

To evaluate the expression provided in the image:

\[
\frac{1 - \sqrt{2}}{2}
\]

We can approximate \(\sqrt{2}\) to 1.414. So, we get:

\[
\frac{1 - 1.414}{2} = \frac{-0.414}{2} = -0.207
\]

Thus, the approximate value of \(\frac{1 - \sqrt{2}}{2}\) is \(-0.207\).

Would you like more details or have any questions?

Here are some questions you might want to explore next:
1. How do you rationalize the denominator of an expression like this?
2. What are some properties of square roots that are useful in algebra?
3. Can you show the exact value calculation instead of approximation?
4. How can we use such expressions in solving real-world problems?
5. What are the applications of irrational numbers in mathematics?

**Tip:** When working with square roots, it's often helpful to leave your answers in exact form unless an approximation is specifically required. This maintains precision in your calculations.

Learn how to evaluate the expression (1 - sqrt(2)) / 2 with a detailed step-by-step solution. This problem covers key algebraic concepts, including square roots and fraction simplification. Suitable for high school students.

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