How do you simplify $sqrt2 ( sqrt8 + 3)$ ?

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Answer 1 · 2015-06-13T12:03:20

$color(blue)(4 + 3sqrt2)$

$color(red)(sqrt2) ( sqrt8 + 3)$
Here, we multiply $sqrt2$ with each of the terms within the bracket.

$= (color(red)(sqrt2). sqrt8) + (color(red)(sqrt2) . 3)$

$= color(red)(sqrt16) + 3sqrt2$

$= color(blue)(4 + 3sqrt2)$

How do you simplify sqrt2 ( sqrt8 + 3)sqrt2 ( sqrt8 + 3)?