Question

( 7 + radical 3)( 7 - radical 3)

Answer 1

(7+sqrt(3))(7-sqrt(3))
49 -7sqrt(3) + 7sqrt(3) -sqrt(3)sqrt(3)
49 - 3 = 46

Answer 2

Just multiply like normal (FOILing):
\[(7+\sqrt{3})(7-\sqrt{3})\]
\[(49+7\sqrt{3}-7\sqrt{3}-3)\]
\[49-3\]
\[46\]

Notice how the radicals actually cancel each other.

Answer 3

this is a differnce of sqaures, which means that that there will be no middle terms
1) when you foil this out the answer will be 49-3 and your answer will be 46

hope that helps :)