Question

Please help me on this

Answer 1

Option d

`(2√(5)-4)(3√(5)+2)=22 -8√(5)`

Explanation:

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

`(2√(5)-4)(3√(5)+2)`

To simplify the expression we use the distributive property

`(2√(5)-4)(3√(5)+2) = 2√(5)(3√(5)) +2√(5)(2) -4(3√(5)) -4(2)`

Simplifying we obtain:

`(2√(5)-4)(3√(5)+2)=6(5) +4√(5) -12√(5) -8\\\\(2√(5)-4)(3√(5)+2)=30 -8√(5) -8\\\\(2√(5)-4)(3√(5)+2)=22 -8√(5)`

The answer is the option d.