Question

multiply. write your answer in simplest form. \\(-\sqrt{2}(-3 + \sqrt{10})\\)

Explanation:

Step1: Distribute $-\sqrt{2}$ to each term

$-\sqrt{2}(-3) + (-\sqrt{2})(\sqrt{10})$

Step2: Calculate each product separately

$3\sqrt{2} - \sqrt{2 \times 10}$

Step3: Simplify the radical term

$3\sqrt{2} - \sqrt{20} = 3\sqrt{2} - 2\sqrt{5}$

Answer:

$3\sqrt{2} - 2\sqrt{5}$