Question

multiply. write your answer in simplest form. (2 - \sqrt{5})(-9 - 6\sqrt{3})

Explanation:

Step1: Apply distributive property (FOIL)

$(2)(-9) + (2)(-6\sqrt{3}) + (-\sqrt{5})(-9) + (-\sqrt{5})(-6\sqrt{3})$

Step2: Calculate each term

$-18 - 12\sqrt{3} + 9\sqrt{5} + 6\sqrt{15}$

Step3: Simplify (no like terms)

$-18 - 12\sqrt{3} + 9\sqrt{5} + 6\sqrt{15}$

Answer:

$-18 - 12\sqrt{3} + 9\sqrt{5} + 6\sqrt{15}$