Question

simplify the radical expression by rationalizing the denominator.

\\\sqrt{\frac{50}{12}}\\

\\\frac{?\sqrt{\quad}}{\quad}\\

give your answer in simplest form.

Explanation:

Simplify the fraction inside the radical

$$ \frac{50}{12} = \frac{25}{6} $$

Apply the quotient property of radicals

$$ \sqrt{\frac{25}{6}} = \frac{\sqrt{25}}{\sqrt{6}} = \frac{5}{\sqrt{6}} $$

Rationalize the denominator

$$ \frac{5}{\sqrt{6}} \cdot \frac{\sqrt{6}}{\sqrt{6}} = \frac{5\sqrt{6}}{6} $$

Answer:

Simplify the radical expression by rationalizing the denominator.

$$\sqrt{\frac{50}{12}}$$

Give your answer in simplest form.
<blank>\(\frac{5\sqrt{6}}{6}\)</blank>