ANSWER
D. 22-8√5
EXPLANATION
We want to expand
[tex](2 \sqrt{5} - 4)(3 \sqrt{5} + 2)[/tex]
We use the distributive property to obtain,
[tex]2 \sqrt{5} (3 \sqrt{5} + 2) - 4(3 \sqrt{5} + 2)[/tex]
We expand to get,
[tex]6(5) + 4 \sqrt{5} - 12 \sqrt{5} - 8[/tex]
Simplify to get,
[tex]22 - 8 \sqrt{5} [/tex]
The correct answer is D.
