How do you simplify $\sqrt{2} (3 \sqrt{2} - 5 \sqrt{2})$ $sqrt2 (3sqrt2 - 5sqrt2)$ ?

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Answer 1 · 2015-06-05T09:31:47

$\sqrt{2} (3 \sqrt{2} - 5 \sqrt{2})$ $sqrt2 (color(red)(3sqrt2 - 5sqrt2))$

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

The expression now becomes:
$\sqrt{2} . (- 2 \sqrt{2})$ $sqrt2 . (color(red)(- 2sqrt2))$

$= - 2 . \sqrt{2} . \sqrt{2}$ $= -2 . sqrt2.sqrt2$
$= - 2 . \sqrt{4}$ $= -2 . sqrt4$
$= - 2.2$ $= -2 . 2$
$= - 4$ $= -4$

How do you simplify √2(3√2−5√2)sqrt2 (3sqrt2 - 5sqrt2)?