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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.

Rationalize the expression \(\frac{1}{\sqrt{2}}\).

Learn how to rationalize the expression 1/√2 by eliminating the square root from the denominator. This solution demonstrates step-by-step rationalization, resulting in a simplified form of √2/2. Ideal for students in Grades 7-9.

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