Question

multiply. write your answer in simplest form. -\sqrt{3}(-9 - \sqrt{2})

Explanation:

Step1: Apply distributive property

$-\sqrt{3}(-9 - \sqrt{2})=(-\sqrt{3})\times(-9)+(-\sqrt{3})\times(-\sqrt{2})$

Step2: Calculate each product

$(-\sqrt{3})\times(-9) = 9\sqrt{3}$ and $(-\sqrt{3})\times(-\sqrt{2})=\sqrt{3\times2}=\sqrt{6}$

Answer:

$9\sqrt{3}+\sqrt{6}$