SOLUTION: I need help to find the product of each pair of conjugates. (2sqrt3

SOLUTION: I need help to find the product of each pair of conjugates. (2sqrt3 - sqrt7)(2sqrt3 + sqrt7)

Question 309970: I need help to find the product of each pair of conjugates.
(2sqrt3 - sqrt7)(2sqrt3 + sqrt7)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
If we let and we get the expression . FOILing this expression gives us which is a difference of squares. Plug and back in to get

Now just multiply out and simplify the right side to get:

and do a bit more arithmetic to get

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