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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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