Question

multiply. write your answer in simplest form. (-sqrt{6}(10 - sqrt{5}))

Explanation:

Step1: Distribute $-\sqrt{6}$ to terms

$-\sqrt{6} \times 10 + (-\sqrt{6}) \times (-\sqrt{5})$

Step2: Simplify each product

$-10\sqrt{6} + \sqrt{6 \times 5}$

Step3: Compute product inside square root

$-10\sqrt{6} + \sqrt{30}$

Answer:

$-10\sqrt{6} + \sqrt{30}$