How do you simplify $-sqrt6(2sqrt6-4sqrt2)$ ?

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Answer 1 · 2018-06-14T18:55:13

$-12+8sqrt3$

We can distribute the $-sqrt6$ to both terms on the parenthesis. Doing this, we get

$-2sqrt(6*6)+4sqrt(2*6)$

This simplifies to

$-2sqrt36+color(blue)(4sqrt(12))$

Which can be rewritten as

$-12+color(blue)(4*sqrt(4*3))$

$=>-12+color(blue)(4*2sqrt3)$

Which finally simplifies to

$-12+8sqrt3$

Hope this helps!

Answer 2 · 2018-06-14T18:58:47

expand the bracket

$-2sqrt36+4sqrt12$

$sqrt36=6$ and $sqrt12=2sqrt3$

$-12+8sqrt3$

How do you simplify -sqrt6(2sqrt6-4sqrt2)-sqrt6(2sqrt6-4sqrt2)?