Question

What is the following product?

(StartRoot 12 EndRoot + StartRoot 6 EndRoot) (StartRoot 6 EndRoot minus StartRoot 10 EndRoot)

A. 6 StartRoot 2 EndRoot minus 2 StartRoot 30 EndRoot + 6 minus 2 StartRoot 15 EndRoot
B. 6 StartRoot 3 EndRoot minus 6 StartRoot 5 EndRoot
C. 3 StartRoot 2 EndRoot minus StartRoot 22 EndRoot + 2 StartRoot 3 EndRoot minus 4
D. 2 StartRoot 3 EndRoot + 6 minus 2 StartRoot 15 EndRoot

Answer 1

Its A

Explanation:

I just took exam edge 2022

Answer 2

A.
`6√(2)\ - 2√(30)\ + 6\ - 2√(15)`

Explanation:

`(√(12)\ + √(6)) (√(6)\ - √(10) )`

`√(12)\ (√(6)\ - √(10) ) + √(6)\ (√(6)\ - √(10) )\\\\√(72)\ - √(120)\ + 6\ - √(60)\\\\√((36)(2))\ - √((4)(30))\ + 6\ - √((4)(15))\\\\6√(2)\ - 2√(30)\ + 6\ - 2√(15)`