Question

Please help me on this

Answer 1

Answer:

Option d

$(2\sqrt{5}-4)(3\sqrt{5}+2)=22 -8\sqrt{5}$

Step-by-step explanation:

We have an expression composed of the product of 2 factors:

$(2\sqrt{5}-4)(3\sqrt{5}+2)$

To simplify the expression we use the distributive property

$(2\sqrt{5}-4)(3\sqrt{5}+2) = 2\sqrt{5}(3\sqrt{5}) +2\sqrt{5}(2) -4(3\sqrt{5}) -4(2)$

Simplifying we obtain:

$(2\sqrt{5}-4)(3\sqrt{5}+2)=6(5) +4\sqrt{5} -12\sqrt{5} -8\\\\(2\sqrt{5}-4)(3\sqrt{5}+2)=30 -8\sqrt{5} -8\\\\(2\sqrt{5}-4)(3\sqrt{5}+2)=22 -8\sqrt{5}$

The answer is the option d.