To rationalize the expression $\frac{1}{\sqrt{2}}$, we eliminate the square root from the denominator by multiplying both the numerator and denominator by $\sqrt{2}$:

$\frac{1}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}} = \frac{\sqrt{2}}{2}$

So, the rationalized form of $\frac{1}{\sqrt{2}}$ is $\frac{\sqrt{2}}{2}$.

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Here are some related questions for further practice:

1. Rationalize the expression $\frac{3}{\sqrt{5}}$.
2. Simplify $\frac{\sqrt{3}}{\sqrt{2}}$.
3. Rationalize $\frac{1}{\sqrt{7}}$ and simplify.
4. Find the rationalized form of $\frac{5}{\sqrt{10}}$.
5. Rationalize and simplify $\frac{1}{\sqrt{3} + 1}$.

Tip: When rationalizing, multiplying by a conjugate or a similar radical can help eliminate square roots from denominators.