How do you simplify $sqrt2(3sqrt2-sqrt2)$ ?

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Answer 1 · 2016-04-21T16:39:34

$=4$

$color(blue)(sqrt2) ( 3 sqrt2 - sqrt2)$

$= color(blue)(sqrt2) * ( 3 sqrt2) + color(blue)(sqrt2)* (- sqrt2)$

$= 3 * sqrt2 * sqrt2 - (sqrt2 * sqrt2)$

$= (3 * 2) - (2 )$

$= 6 - 2$

$=4$

How do you simplify sqrt2(3sqrt2-sqrt2)sqrt2(3sqrt2-sqrt2)?