SOLUTION: can you please help me express in simplest radical form: ((( (square root sign2 - 3)(square root sign2 + 3) )))

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Question 178942This question is from textbook algebra structure and method
: can you please help me express in simplest radical form: ((( (square root sign2 - 3)(square root sign2 + 3) ))) This question is from textbook algebra structure and method

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28sqrt%282%29-3%29%28sqrt%282%29%2B3%29 Start with the given expression


Let a=sqrt%282%29 and b=3


%28a-b%29%28a%2Bb%29 Replace each sqrt%282%29 with "a" and each "3" with "b"


a%5E2%2Bab-ab-b%5E2 FOIL


a%5E2-b%5E2 Combine like terms.


%28sqrt%282%29%29%5E2-%283%29%5E2 Plug in a=sqrt%282%29 and b=3


2-9 Square sqrt%282%29 to get 2 and square 3 to get 9


-7 Combine like terms.


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Answer:


So %28sqrt%282%29-3%29%28sqrt%282%29%2B3%29=-7