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How do you simplify #( 3 - 2sqrt2 )^2#?

1 Answer

Jun 5, 2015

From the general form:
#color(white)("XXXX")##(a-b)^2 = a^2 -2ab +b^2#

We can write
#color(white)("XXXX")##(3-2sqrt(2))^2 = 9 -12sqrt(2) +8#
#color(white)("XXXX")##color(white)("XXXXXXX")##=17-12sqrt(2)#

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