How do you simplify $(5 - 2sqrt2)^2$ ?

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Answer 1 · 2016-04-09T03:10:37

$=5^2-2xx5xx2sqrt2+(2sqrt2)^2$
$=25-20sqrt2+8$
$=33-20sqrt2$

Answer 2 · 2016-04-09T07:25:33

$33-20sqrt2$

$color(blue)((5-2sqrt2)^2$

Use the identity

$color(brown)((a-b)^2=a^2-2ab+b^2$

So,we can say that

$color(purple)(a=5,b=2sqrt2$

Then,

$rarr(5-2sqrt2)^2=(5)^2-2(5)(2sqrt2)+(2sqrt2)^2$

$rarr25-10(2sqrt2)+(4*2)$

$rarr25-20sqrt2+8$

$color(green)(rArr33-20sqrt2$

How do you simplify (5 - 2sqrt2)^2(5 - 2sqrt2)^2?