Question

1.........................simplify

Answer 1

22 - 8√5

Explanation:

(2√5 - 4)(3√5 + 2)

= 2√5(3√5 + 2) - 4(3√5 + 2)

= 6√(5×5) + 4√5 - 12√5 - 8

= 6√25 + 4√5 - 12√5 - 8

=6×5 + 4√5 - 12√5 - 8

=30 - 8 + 4√5 - 12√5

= 22 - 8√5

Answer 2

`22-8√(5)`

Explanation:

Since all the answer choices arent visible, i will directly give the answer.

We will use the distributive property in expanding, which is
`(a+b)(c+d)=ac+ad+bc+bd`

So we have:

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

Note: we have used the radical property
`√(a)√(a)=a` here