Question

Please help. Show all work:)

Answer 1

50

Explanation:

`(3+√(-16))(6-√(-64))=(3+4√(-1))(6-8√(-1))=2(3+4√(-1))(3-4√(-1))\\\\=2(3^2-(4√(-1))^2)=2(9-(-16))\\\\=2(25)=50`

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We make use of the special form for the difference of squares:

(a+b)(a-b) = a²-b²