How do you multiply $(7-2sqrt3)^2$ ?

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Answer 1 · 2015-06-07T08:02:52

Problem: Multiply $(7-2sqrt 3)^2$

This is an example of the Square of a Difference, in which

$(a-b)^2=a^2-2ab+b^2$ .

$a=7$
$b=2sqrt3$

$(7-2sqrt 3)^2=7^2-2xx7xx2sqrt3+(2sqrt3)^2$ =

$49-28sqrt 3+(4xx3)$ =

$49-28sqrt 3+12$ =

$61-28sqrt 3$

How do you multiply (7-2sqrt3)^2(7-2sqrt3)^2?