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What is # (3 + sqrt2)(3 - sqrt2) #?

1 Answer

Jun 11, 2015

#(3+sqrt(2))(3-sqrt(2)) = 7#

Explanation:

Remember the difference of squares:
#color(white)("XXXX")##(a^2-b^2) = (a+b)(a-b)#
and substitute
#color(white)("XXXX")##3# for #a#
and
#color(white)("XXXX")##sqrt(2)# for #b#

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