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To rationalize the denominator in the expression \(\frac{7}{\sqrt{2}}\), you multiply both the numerator and the denominator by \(\sqrt{2}\). This process eliminates the square root from the denominator. Let's perform the calculation:

\[
\frac{7}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = \frac{7 \cdot \sqrt{2}}{\sqrt{2} \cdot \sqrt{2}} = \frac{7\sqrt{2}}{2}
\]

So, the rationalized form of \(\frac{7}{\sqrt{2}}\) is:

\[
\frac{7\sqrt{2}}{2}
\]

Would you like more details, or do you have any questions?

Here are 5 related questions you might consider:

1. How would you rationalize the denominator for \(\frac{5}{\sqrt{3}}\)?
2. What happens when you rationalize the denominator of \(\frac{1}{\sqrt{5}}\)?
3. How can you rationalize the denominator in the expression \(\frac{4}{2\sqrt{2}}\)?
4. What is the result of rationalizing the denominator of \(\frac{6}{\sqrt{7}}\)?
5. How would you simplify \(\frac{9}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}}\)?

**Tip:** Rationalizing the denominator is useful because it simplifies expressions and makes them easier to work with, especially when adding or subtracting fractions.

Rationalize the denominator. \(\frac{7}{\sqrt{2}}\)

Learn how to rationalize the denominator in the expression \(\frac{7}{\sqrt{2}}\). This detailed solution demonstrates the process of eliminating the square root from the denominator, a key algebraic concept. Suitable for students in Grades 8-10.

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