To simplify \(\frac{3}{\sqrt{6}}\), we can rationalize the denominator by multiplying both the numerator and denominator by \(\sqrt{6}\):

\[
\frac{3}{\sqrt{6}} \times \frac{\sqrt{6}}{\sqrt{6}} = \frac{3\sqrt{6}}{6}
\]

Now, simplify the fraction:

\[
\frac{3\sqrt{6}}{6} = \frac{\sqrt{6}}{2}
\]

Thus, the simplified form of \(\frac{3}{\sqrt{6}}\) is:

\[
\frac{\sqrt{6}}{2}
\]

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

Here are 5 related questions:
1. How do you simplify fractions with square roots in the denominator?
2. What is the process of rationalizing a denominator?
3. How do you simplify expressions involving square roots?
4. Can \(\frac{3}{\sqrt{6}}\) be simplified further?
5. What is the value of \(\sqrt{6}\) approximately?

**Tip:** Always multiply the numerator and denominator by the same term when rationalizing a denominator to keep the fraction equivalent.

Learn how to simplify the fraction 3/√6 by rationalizing the denominator. This step-by-step guide walks you through multiplying by √6 and simplifying the result. Understand key concepts like simplifying radicals and rationalizing denominators, ideal for students in Grades 8-10.

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