4) Simplify. Rationalize the denominator. $$ \frac{-\sqrt{3}}{3-\sqrt{6}} $$ $$ \begin{array}{l}\square \ \sqrt{\square}\end{array} $$

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Calculate or simplify the expression $$ \frac{-\sqrt{3}}{3-\sqrt{6}} $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{-\sqrt{3}}{3-\sqrt{6}}$$
- step1: Multiply by the Conjugate:
  $$\frac{-\sqrt{3}	imes \left(3+\sqrt{6}ight)}{\left(3-\sqrt{6}ight)\left(3+\sqrt{6}ight)}$$
- step2: Multiply the numbers:
  $$\frac{-\sqrt{3}	imes \left(3+\sqrt{6}ight)}{3}$$
- step3: Multiply the numbers:
  $$\frac{-3\sqrt{3}-3\sqrt{2}}{3}$$
- step4: Rewrite the expression:
  $$\frac{3\left(-\sqrt{3}-\sqrt{2}ight)}{3}$$
- step5: Reduce the fraction:
  $$-\sqrt{3}-\sqrt{2}$$
The simplified form of $$ \frac{-\sqrt{3}}{3-\sqrt{6}} $$ is $$ -\sqrt{3}-\sqrt{2} $$.
The simplified form is $$ -\sqrt{3} - \sqrt{2} $$.

Simplify. Rationalize the denominator.

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