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2 votes
write in the simplest form 
(2-√(7) ) (1+2√(7) )


1 Answer

2 votes
You will FOIL this out to simplify. First outers, inners last. 2*1 = 2; 2*2sqrt7 = 4sqrt7; -sqrt7*1=-sqrt7; -sqrt7*2sqrt7 = 2sqrt49. This is what all that looks like:
2+4 √(7)- √(7)-2 √(49). Combining like terms we have
2+3 √(7) -2 √(49). The sqrt 49 is equal to 7, so we can continue simplifying:
2+3 √(7)-2(7) which equals
2+3 √(7)-14. Finally,
-12+3 √(7). Or, putting the positive term first, it would also be correct to write
3 √(7)-12
User Richard Torcato
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