Rationalize the denominator and simplify. $$ \frac{3}{\sqrt{6}} $$

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UpStudy AI · Accepted Answer

1. Write the original expression:
   $$
   \frac{3}{\sqrt{6}}
   $$

2. Multiply the numerator and denominator by $$\sqrt{6}$$ to rationalize the denominator:
   $$
   \frac{3}{\sqrt{6}} \times \frac{\sqrt{6}}{\sqrt{6}} = \frac{3\sqrt{6}}{6}
   $$

3. Simplify the fraction by dividing both the numerator and the denominator by $$3$$:
   $$
   \frac{3\sqrt{6}}{6} = \frac{\sqrt{6}}{2}
   $$

The simplified expression is:
$$
\frac{\sqrt{6}}{2}
$$
$$ \frac{\sqrt{6}}{2} $$

Rationalize the denominator and simplify.

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