How do you simplify $sqrt2 (3sqrt2 - 5sqrt2)$ ?

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Answer 1 · 2015-06-05T09:31:47

$sqrt2 (color(red)(3sqrt2 - 5sqrt2))$

Solving expression within brackets first :
$3sqrt2 - 5sqrt2 = color(red)(-2sqrt2$

The expression now becomes:
$sqrt2 . (color(red)(- 2sqrt2))$

$= -2 . sqrt2.sqrt2$
$= -2 . sqrt4$
$= -2 . 2$
$= -4$

How do you simplify sqrt2 (3sqrt2 - 5sqrt2)sqrt2 (3sqrt2 - 5sqrt2)?