The expression \( \frac{1}{\sqrt{2}} - \frac{1}{\sqrt{2}} \) simplifies as follows:

\[
\frac{1}{\sqrt{2}} - \frac{1}{\sqrt{2}} = 0
\]

So, the result is \( 0 \).

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:
1. What is the value of \( \frac{1}{\sqrt{2}} \) in decimal form?
2. How do you rationalize the denominator of \( \frac{1}{\sqrt{2}} \)?
3. What is the result of adding \( \frac{1}{\sqrt{2}} + \frac{1}{\sqrt{2}} \)?
4. How can you express \( \frac{1}{\sqrt{2}} \) as a power of 2?
5. What is the cosine of \( 45^\circ \) and how is it related to \( \frac{1}{\sqrt{2}} \)?

**Tip:** When dealing with square roots in denominators, it's often useful to rationalize the denominator to simplify further calculations.

Learn how to simplify the expression \( \frac{1}{\sqrt{2}} - \frac{1}{\sqrt{2}} \) to 0 with a step-by-step explanation. This problem involves basic algebraic operations with square roots. Suitable for students in Grades 9-12.

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