Question

rationalize the denominator.

\\ -\frac{9}{8\sqrt{3}} \\

\\ -\frac{9}{8\sqrt{3}} = \square \\ (type an exact answer, using radicals as needed.)

Explanation:

⚡ Using what you learned: Rationalizing Denominators

Step 1: Multiply numerator and denominator by the radical

$$ -\frac{9}{8\sqrt{3}} = -\frac{9 \cdot \sqrt{3}}{8\sqrt{3} \cdot \sqrt{3}} $$

Step 2: Simplify the denominator

$$ -\frac{9\sqrt{3}}{8 \cdot 3} = -\frac{9\sqrt{3}}{24} $$

Step 3: Reduce the fraction

$$ -\frac{3\sqrt{3}}{8} $$

Answer:

$$ -\frac{3\sqrt{3}}{8} $$