Question

multiply. write your answer in simplest form. $5\sqrt{2}(2 - 8\sqrt{5})$

Explanation:

Step1: Distribute the outer term

$5\sqrt{2} \times 2 - 5\sqrt{2} \times 8\sqrt{5}$

Step2: Calculate each product

$10\sqrt{2} - 40\sqrt{2 \times 5}$

Step3: Simplify the radical

$10\sqrt{2} - 40\sqrt{10}$

Answer:

$10\sqrt{2} - 40\sqrt{10}$