SOLUTION: How do you simplify Radicals like (2-radical3)(2+radical3)

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Question 390928: How do you simplify Radicals like (2-radical3)(2+radical3)
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
2-sqrt%283%29%29%282%2Bsqrt%283%29%29
You can use FOIL to multiply this. But you can also use tha pattern, %28a+%2B+b%29%28a+-+b%29+=+a%5E2+-+b%5E2, with "a" being 2 and "b" being sqrt%283%29. Using the pattern we get:
%282%29%5E2+-+%28sqrt%283%29%29%5E2
which simplifies as follows:
4 - 3
1