How do you simplify $sqrt2 (sqrt8 + sqrt4)$ ?

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Answer 1 · 2016-09-25T11:13:14

multiply and try to get rid of $sqrt()$ 's if possible

$sqrt(2)(sqrt(8) + sqrt(4)) = sqrt(2)sqrt(8) + sqrt(2)sqrt(4)$

$=sqrt(16) + sqrt(2)*2$

$= 4+2sqrt(2)$
or
$= 4+sqrt(8)$

How do you simplify sqrt2 (sqrt8 + sqrt4)sqrt2 (sqrt8 + sqrt4)?