Question

What is the following product?

(2 StartRoot 7 EndRoot + 3 StartRoot 6 EndRoot) (5 StartRoot 2 EndRoot + 4 StartRoot 3 EndRoot)
6 StartRoot 10 EndRoot + 16 StartRoot 2 EndRoot + 42
8 StartRoot 10 EndRoot + 30 StartRoot 2 EndRoot + 66
7 StartRoot 14 EndRoot + 6 StartRoot 21 EndRoot + 16 StartRoot 3 EndRoot + 21 StartRoot 2 EndRoot
10 StartRoot 14 EndRoot + 8 StartRoot 21 EndRoot + 30 StartRoot 3 EndRoot + 36 StartRoot 2 EndRoot

Answer 1

D on edge

Explanation:

Answer 2

`10√(14)+8√(21)+30√(3)+36√(2)`

Explanation:

Your product is found using the distributive property.

`(2√(7)+3√(6)) (5√(2)+ 4√(3))=2√(7)(5√(2)+ 4√(3))+3√(6)(5√(2)+ 4√(3))\\\\=10√(14)+8√(21)+15√(12)+12√(18)\\\\=\boxed{10√(14)+8√(21)+30√(3)+36√(2)}`